Use HCF to prove that 980 and 1287 are coprime nos.
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Answered by
2
Answer:
You can prove it using Euclid's Division Lemma.
Step-by-step explanation:
By Division Lemma:
a=bq+r
Take a=1287,b=980
Applying Euclid's Division Lemma, we get,
1287=980*1+307
980=307*3+59
307=59*5+12
59=12*4+11
12=11*1+1
11=1*11+0
Hence, the HCF of 1287 and 980 is 1.
This proves that these numbers are coprime.
Hence,Proved.
Hope it Helps!
Answered by
0
Answer:
You can prove it using Euclid's Division Lemma.
Step-by-step explanation:
By Division Lemma:
a=bq+r
Take a=1287,b=980
Applying Euclid's Division Lemma, we get,
1287=980*1+307
980=307*3+59
307=59*5+12
59=12*4+11
12=11*1+1
11=1*11+0
Hence, the HCF of 1287 and 980 is 1.
This proves that these numbers are coprime.
Hence,Proved.
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