for how many pairs of numbers is their hcf 10% of their lcm
Answers
Step-by-step explanation:
(i) 26 and 91
(i) 26 and 91Factor of 26=2×13×1
(i) 26 and 91Factor of 26=2×13×1Factor of 91=7×13×1
(i) 26 and 91Factor of 26=2×13×1Factor of 91=7×13×1HCF of 26 and 91=13×1=13
(i) 26 and 91Factor of 26=2×13×1Factor of 91=7×13×1HCF of 26 and 91=13×1=13LCM of 26 and 91=2×7×13=182
(i) 26 and 91Factor of 26=2×13×1Factor of 91=7×13×1HCF of 26 and 91=13×1=13LCM of 26 and 91=2×7×13=182LCM × HCF =182×13=2366
(i) 26 and 91Factor of 26=2×13×1Factor of 91=7×13×1HCF of 26 and 91=13×1=13LCM of 26 and 91=2×7×13=182LCM × HCF =182×13=236626×91=2366
(i) 26 and 91Factor of 26=2×13×1Factor of 91=7×13×1HCF of 26 and 91=13×1=13LCM of 26 and 91=2×7×13=182LCM × HCF =182×13=236626×91=2366So, LCM.HCF = product of the two numbers =26×91.
(i) 26 and 91Factor of 26=2×13×1Factor of 91=7×13×1HCF of 26 and 91=13×1=13LCM of 26 and 91=2×7×13=182LCM × HCF =182×13=236626×91=2366So, LCM.HCF = product of the two numbers =26×91.Hence proved.
(i) 26 and 91Factor of 26=2×13×1Factor of 91=7×13×1HCF of 26 and 91=13×1=13LCM of 26 and 91=2×7×13=182LCM × HCF =182×13=236626×91=2366So, LCM.HCF = product of the two numbers =26×91.Hence proved.(ii) 510×92
(i) 26 and 91Factor of 26=2×13×1Factor of 91=7×13×1HCF of 26 and 91=13×1=13LCM of 26 and 91=2×7×13=182LCM × HCF =182×13=236626×91=2366So, LCM.HCF = product of the two numbers =26×91.Hence proved.(ii) 510×92Factor of 510=2×3×5×17×1
(i) 26 and 91Factor of 26=2×13×1Factor of 91=7×13×1HCF of 26 and 91=13×1=13LCM of 26 and 91=2×7×13=182LCM × HCF =182×13=236626×91=2366So, LCM.HCF = product of the two numbers =26×91.Hence proved.(ii) 510×92Factor of 510=2×3×5×17×1Factor of 92=2×2×23
(i) 26 and 91Factor of 26=2×13×1Factor of 91=7×13×1HCF of 26 and 91=13×1=13LCM of 26 and 91=2×7×13=182LCM × HCF =182×13=236626×91=2366So, LCM.HCF = product of the two numbers =26×91.Hence proved.(ii) 510×92Factor of 510=2×3×5×17×1Factor of 92=2×2×23HCF of 510 and 92=2×2=2
(i) 26 and 91Factor of 26=2×13×1Factor of 91=7×13×1HCF of 26 and 91=13×1=13LCM of 26 and 91=2×7×13=182LCM × HCF =182×13=236626×91=2366So, LCM.HCF = product of the two numbers =26×91.Hence proved.(ii) 510×92Factor of 510=2×3×5×17×1Factor of 92=2×2×23HCF of 510 and 92=2×2=2LCM of 510 and 92=2×2×3×5×17×23=23,460
(i) 26 and 91Factor of 26=2×13×1Factor of 91=7×13×1HCF of 26 and 91=13×1=13LCM of 26 and 91=2×7×13=182LCM × HCF =182×13=236626×91=2366So, LCM.HCF = product of the two numbers =26×91.Hence proved.(ii) 510×92Factor of 510=2×3×5×17×1Factor of 92=2×2×23HCF of 510 and 92=2×2=2LCM of 510 and 92=2×2×3×5×17×23=23,460LCM × HCF =23,460×2=46,920
(i) 26 and 91Factor of 26=2×13×1Factor of 91=7×13×1HCF of 26 and 91=13×1=13LCM of 26 and 91=2×7×13=182LCM × HCF =182×13=236626×91=2366So, LCM.HCF = product of the two numbers =26×91.Hence proved.(ii) 510×92Factor of 510=2×3×5×17×1Factor of 92=2×2×23HCF of 510 and 92=2×2=2LCM of 510 and 92=2×2×3×5×17×23=23,460LCM × HCF =23,460×2=46,920510×92=46,920
(i) 26 and 91Factor of 26=2×13×1Factor of 91=7×13×1HCF of 26 and 91=13×1=13LCM of 26 and 91=2×7×13=182LCM × HCF =182×13=236626×91=2366So, LCM.HCF = product of the two numbers =26×91.Hence proved.(ii) 510×92Factor of 510=2×3×5×17×1Factor of 92=2×2×23HCF of 510 and 92=2×2=2LCM of 510 and 92=2×2×3×5×17×23=23,460LCM × HCF =23,460×2=46,920510×92=46,920So, LCM.HCF = product of the two numbers =510×92.
(i) 26 and 91Factor of 26=2×13×1Factor of 91=7×13×1HCF of 26 and 91=13×1=13LCM of 26 and 91=2×7×13=182LCM × HCF =182×13=236626×91=2366So, LCM.HCF = product of the two numbers =26×91.Hence proved.(ii) 510×92Factor of 510=2×3×5×17×1Factor of 92=2×2×23HCF of 510 and 92=2×2=2LCM of 510 and 92=2×2×3×5×17×23=23,460LCM × HCF =23,460×2=46,920510×92=46,920So, LCM.HCF = product of the two numbers =510×92.Hence proved.
Answer:
Step-by-step explanation:
(i) 26 and 91
(i) 26 and 91Factor of 26=2×13×1
(i) 26 and 91Factor of 26=2×13×1Factor of 91=7×13×1
(i) 26 and 91Factor of 26=2×13×1Factor of 91=7×13×1HCF of 26 and 91=13×1=13
(i) 26 and 91Factor of 26=2×13×1Factor of 91=7×13×1HCF of 26 and 91=13×1=13LCM of 26 and 91=2×7×13=182
(i) 26 and 91Factor of 26=2×13×1Factor of 91=7×13×1HCF of 26 and 91=13×1=13LCM of 26 and 91=2×7×13=182LCM × HCF =182×13=2366
(i) 26 and 91Factor of 26=2×13×1Factor of 91=7×13×1HCF of 26 and 91=13×1=13LCM of 26 and 91=2×7×13=182LCM × HCF =182×13=236626×91=2366
(i) 26 and 91Factor of 26=2×13×1Factor of 91=7×13×1HCF of 26 and 91=13×1=13LCM of 26 and 91=2×7×13=182LCM × HCF =182×13=236626×91=2366So, LCM.HCF = product of the two numbers =26×91.
(i) 26 and 91Factor of 26=2×13×1Factor of 91=7×13×1HCF of 26 and 91=13×1=13LCM of 26 and 91=2×7×13=182LCM × HCF =182×13=236626×91=2366So, LCM.HCF = product of the two numbers =26×91.Hence proved.
(i) 26 and 91Factor of 26=2×13×1Factor of 91=7×13×1HCF of 26 and 91=13×1=13LCM of 26 and 91=2×7×13=182LCM × HCF =182×13=236626×91=2366So, LCM.HCF = product of the two numbers =26×91.Hence proved.(ii) 510×92
(i) 26 and 91Factor of 26=2×13×1Factor of 91=7×13×1HCF of 26 and 91=13×1=13LCM of 26 and 91=2×7×13=182LCM × HCF =182×13=236626×91=2366So, LCM.HCF = product of the two numbers =26×91.Hence proved.(ii) 510×92Factor of 510=2×3×5×17×1
(i) 26 and 91Factor of 26=2×13×1Factor of 91=7×13×1HCF of 26 and 91=13×1=13LCM of 26 and 91=2×7×13=182LCM × HCF =182×13=236626×91=2366So, LCM.HCF = product of the two numbers =26×91.Hence proved.(ii) 510×92Factor of 510=2×3×5×17×1Factor of 92=2×2×23
(i) 26 and 91Factor of 26=2×13×1Factor of 91=7×13×1HCF of 26 and 91=13×1=13LCM of 26 and 91=2×7×13=182LCM × HCF =182×13=236626×91=2366So, LCM.HCF = product of the two numbers =26×91.Hence proved.(ii) 510×92Factor of 510=2×3×5×17×1Factor of 92=2×2×23HCF of 510 and 92=2×2=2
(i) 26 and 91Factor of 26=2×13×1Factor of 91=7×13×1HCF of 26 and 91=13×1=13LCM of 26 and 91=2×7×13=182LCM × HCF =182×13=236626×91=2366So, LCM.HCF = product of the two numbers =26×91.Hence proved.(ii) 510×92Factor of 510=2×3×5×17×1Factor of 92=2×2×23HCF of 510 and 92=2×2=2LCM of 510 and 92=2×2×3×5×17×23=23,460
(i) 26 and 91Factor of 26=2×13×1Factor of 91=7×13×1HCF of 26 and 91=13×1=13LCM of 26 and 91=2×7×13=182LCM × HCF =182×13=236626×91=2366So, LCM.HCF = product of the two numbers =26×91.Hence proved.(ii) 510×92Factor of 510=2×3×5×17×1Factor of 92=2×2×23HCF of 510 and 92=2×2=2LCM of 510 and 92=2×2×3×5×17×23=23,460LCM × HCF =23,460×2=46,920
(i) 26 and 91Factor of 26=2×13×1Factor of 91=7×13×1HCF of 26 and 91=13×1=13LCM of 26 and 91=2×7×13=182LCM × HCF =182×13=236626×91=2366So, LCM.HCF = product of the two numbers =26×91.Hence proved.(ii) 510×92Factor of 510=2×3×5×17×1Factor of 92=2×2×23HCF of 510 and 92=2×2=2LCM of 510 and 92=2×2×3×5×17×23=23,460LCM × HCF =23,460×2=46,920510×92=46,920
(i) 26 and 91 Factor of 26=2×13×1 Factor of 91=7×13×1HCF of 26 and 91=13×1=13 LCM of 26 and 91=2×7×13=182LCM × HCF =182×13=236626×91=2366So, LCM.HCF = product of the two numbers =26×91.Hence proved.(ii) 510×92 Factor of 510=2×3×5×17×1Factor of 92=2×2×23HCF of 510 and 92=2×2=2 LCM of 510 and 92=2×2×3×5×17×23=23,460 LCM × HCF =23,460×2=46,920510×92=46,920 So, LCM.HCF = product of the two numbers =510×92.
(i) 26 and 91 Factor of 26=2×13×1 Factor of 91=7×13×1 HCF of 26 and 91=13×1=13 LCM of 26 and 91=2×7×13=182 LCM × HCF =182×13=236626×91=2366 So, LCM.HCF = product of the two numbers =26×91.Hence proved.(ii) 510×92 Factor of 510=2×3×5×17×1 Factor of 92=2×2×23HCF of 510 and 92=2×2=2 LCM of 510 and 92=2×2×3×5×17×23=23,460 LCM × HCF =23,460×2=46,920510×92=46,920 So, LCM.HCF = product of the two numbers =510×92.Hence proved.