Use Euclid's division algorithm to find the HCF of 11 and 9
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Answer:
HCF of 11 and 9
Step-by-step explanation:
since 11 > 9 , we apply the lemma to 11 and 9 , to get
11 = 9×1+2
since the remainder 2 is not equal to zero , we apply the division lemma to 9 and 2 , to get
9 = 2×4+1
we consider the new divisior 2 and the new remainder 1 , and apply the division lemma to get,
2 = 1×1 +1
again we apply division lemma
1 = 1×1+0
the remainder has now become zero , so our procedure stops . since the division at this stage is 1 , the HCF of 11 and 9 is 1.
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