Question

Using Euclids division algorithm find whether the pair of numbers 847,2160 are co prime or not.

Answer 1

Step-by-step explanation:

a=2160,b=847

By Euclid's lemma,

a=bq+r,

0≤r<b

2160=847×2+466

847=466×1+381

466=381×1+85

381=85×4+41

85=41×2+3

41=3×13+2

3=2×1+1

2=1×2+0

As 1 is the HCF of 847 and 216.

847 and 2160 are the co-primes.