Question

If HCF of 144 and 180 is expressed in the form 13m-16. Find the value of m.​

Answer 1

Answer:

m=4

Step-by-step explanation:

144 = 2 ^ 4 * 3 ^ 2

180= 2 ^ 2 * 5 * 3 ^ 2

∴H.C.F ( 180,144) = 2 ^ 2 * 3 ^ 2 = 4 * 9 = 36

13m-16=36

13m=36+16

13m=52

m=52/13

m=4

Answer 2

Answer:

first we have to find hcf of 144 &180.

144= 2×2×2×2×3×3

180= 2×2×3×3×5

hcf of 180 & 144 =2×2×3×3=36

Now,

HCF = 13m -16

36 = 13m -16

36 +16 = 13m

52 = 13m

13m =52

m = 52\13

m = 4