Use Euclid's division algorithm to find the HCF of 11 and 9

1.	Use Euclid's division algorithm to find the HCF of 11 and 9
Answer» 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.

Answer»

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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Use Euclid's division algorithm to find the HCF of 11 and 9

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