Question

8. If d is the Highest Common Factor of 32 and 60, find r and y satisfying d=32x +60​

Answer 1

Step-by-step explanation:

32<60

BY EUCLID'S DIVISION LEMMA...

60=32×1+28

32=28×1+4

28=4×7+0

THUS, HCF(32,60)=4

THEREFORE...

d=4

Now,

d=32x+60

4=32x+60

4-60=32x

-56=32x

x=-56/32

x=-28/16=-14/8=-7/4