State Euclid's division Lemma. Using EDL find HCF of 847 and 2160
Answers
Answered by
6
Answer:
the ans. is 1.
Step-by-step explanation:
Given, the two numbers 847,2160
Here, Co-primes are 2 numbers which have only one as a common factor.
Let, a=2160
b=847
Then, by Euclid's lemma
a=bq+r,0≤r<b
So,
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 H.C.F of 847 and 2160,
∴ 847 and 2160 are co-primes as they have only 1 as their H.C.F.
hope this ans will help you dear....
Similar questions