100 Points for Class 10 maths Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = Product of the two numbers1) 26 and 912) 336 and 54
Answers
Answer:
Find LCM HCF verify LCM × HCF = product of two numbers
(i) 26 = 2 x 13. 91 =7 x 13. HCF = 13. LCM =2 x 7 x 13 =182. Product of two value 26 x 91 = 2366. ...
(ii) 510 = 2 x 3 x 5 x 17. 92 =2 x 2 x 23. HCF =2. LCM =2 x 2 x3 x 5 x 17 x 23 = 23460. ...
(iii) 336 = 2 x 2 x 2 x 2 x 3 x 7. 54 = 2 x 3 x 3 x 3. HCF = 2 x 3 = 6. LCM = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 =3024.
Find LCM HCF verify LCM × HCF = product of two numbers
(i) 26 = 2 x 13. 91 =7 x 13. HCF = 13. LCM =2 x 7 x 13 =182. Product of two value 26 x 91 = 2366. ...
(ii) 510 = 2 x 3 x 5 x 17. 92 =2 x 2 x 23. HCF =2. LCM =2 x 2 x3 x 5 x 17 x 23 = 23460. ...
(iii) 336 = 2 x 2 x 2 x 2 x 3 x 7. 54 = 2 x 3 x 3 x 3. HCF = 2 x 3 = 6. LCM = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 =3024.Highest Common Factor (HCF): The largest or greatest factor common to any two or more given natural numbers is termed as HCF of given numbers. Also known as GCD (Greatest Common Divisor). For example, HCF of 4, 6 and 8 is 2. 4 = 2 × 2. 6 =3 × 2.