Question

in hcf of 144 amd 180 is expressed in the form 13m-3 find the value of m

Answer 1

Hey

Here is your answer,

144=2^4 × 3^2
180=2^2 × 3^2 ×5
HCF of 144 and 180 is (2^2 × 3^2)=36

Given HCF of 144 and 180 is 13m-3
36=13m-3
13m=36+3
13m=39
m=39/13
m=3

Hope it helps you!

Answer 2

Heya !!!

Prime factorisation of 144 = 2 × 2 × 2 × 2 × 3 × 3

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

HCF of 144 and 180 = 2 × 2 × 3 × 3 = 36

According to question,

HCF of 144 and 136 is expressed in the form of 13M - 3.

So,

13M - 3 = 36

M = 36+3/13

M = 39/13



M = 3



Hence,



Value of M is 3 .





★ HOPE IT WILL HELP YOU ★