Question

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

Answer 1

using Euclid division lemma we find the HCF of 144 and 180 which is equal to 36

which is equal to 13m-3( a/c to q )

13m-3=36

m=3

Answer 2

$\mathsf{Answer:}$

Using Euclid's Division Lemma (a = bq + r) :

180 = 144 × 1 + 36

144 = 36 × 4 + 0

HCF of 144 and 180 is 36.

According to the question, HCF is expressed as 13m - 3.

So,

13m - 3 = 36

13m = 39

m = 3.