Highest Common Factor of 9677, 6727 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 9677, 6727 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9677, 6727 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 9677, 6727 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 9677, 6727 is 1.

HCF(9677, 6727) = 1

HCF of 9677, 6727 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 9677, 6727 is 1.

Highest Common Factor of 9677,6727 using Euclid's algorithm

Highest Common Factor of 9677,6727 is 1

Step 1: Since 9677 > 6727, we apply the division lemma to 9677 and 6727, to get

9677 = 6727 x 1 + 2950

Step 2: Since the reminder 6727 ≠ 0, we apply division lemma to 2950 and 6727, to get

6727 = 2950 x 2 + 827

Step 3: We consider the new divisor 2950 and the new remainder 827, and apply the division lemma to get

2950 = 827 x 3 + 469

We consider the new divisor 827 and the new remainder 469,and apply the division lemma to get

827 = 469 x 1 + 358

We consider the new divisor 469 and the new remainder 358,and apply the division lemma to get

469 = 358 x 1 + 111

We consider the new divisor 358 and the new remainder 111,and apply the division lemma to get

358 = 111 x 3 + 25

We consider the new divisor 111 and the new remainder 25,and apply the division lemma to get

111 = 25 x 4 + 11

We consider the new divisor 25 and the new remainder 11,and apply the division lemma to get

25 = 11 x 2 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9677 and 6727 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(25,11) = HCF(111,25) = HCF(358,111) = HCF(469,358) = HCF(827,469) = HCF(2950,827) = HCF(6727,2950) = HCF(9677,6727) .

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Frequently Asked Questions on HCF of 9677, 6727 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 9677, 6727?

Answer: HCF of 9677, 6727 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9677, 6727 using Euclid's Algorithm?

Answer: For arbitrary numbers 9677, 6727 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.