Question

Find the HCF of 65 and 117 and express it in the form 65m + 117n​

Answer 1

Find H.C.F of 65 and 117 by euclid division lemma,

117 = 65 × 1 + 52

65 = 52 × 1 + 13

52 = 13 × 4 + 0

So, H.C.F is 13

Now express it in the form of 65m + 117n

So,

13 = 65 - 52 × 1

13 = 65 - ( 117 - 65 × 1) × 1

13 = 65 × 2 - 117 × 1

13 = 65 × 2 + 117 × -1

so,

13 = 65m + 117n

Where,

m = 2 ;

n = -1

Answer 2

Answer:m=2 and n= -1

Step-by-step explanation:go through the photo attached and plz mark brainliest