Question

Hcf of two no is expressed in 13m - 16 .
Hcf are 144 and 180.find value of m

Answer 1

Answer:

4

Explanation:

H.C.F. of 144 and 180 is expressed in form of 13m – 16.

Prime  Factorisation of 144 = 2 x 2 x 2 x 2 x 3 x 3

Prime Factorisation  of 180 =  2 × 2 × 3 × 3 × 5

H.C.F. of 144 and 180 is  2 × 2 × 3 × 3 = 36

According to the question,

13m - 16 = 36

⇒ 13m = 36 + 16

⇒ 13m =  52

⇒ m = 52 / 13

⇒ m = 4