Highest Common Factor of 6713, 3957 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 6713, 3957 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6713, 3957 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 6713, 3957 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 6713, 3957 is 1.

HCF(6713, 3957) = 1

HCF of 6713, 3957 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 6713, 3957 is 1.

Highest Common Factor of 6713,3957 using Euclid's algorithm

Highest Common Factor of 6713,3957 is 1

Step 1: Since 6713 > 3957, we apply the division lemma to 6713 and 3957, to get

6713 = 3957 x 1 + 2756

Step 2: Since the reminder 3957 ≠ 0, we apply division lemma to 2756 and 3957, to get

3957 = 2756 x 1 + 1201

Step 3: We consider the new divisor 2756 and the new remainder 1201, and apply the division lemma to get

2756 = 1201 x 2 + 354

We consider the new divisor 1201 and the new remainder 354,and apply the division lemma to get

1201 = 354 x 3 + 139

We consider the new divisor 354 and the new remainder 139,and apply the division lemma to get

354 = 139 x 2 + 76

We consider the new divisor 139 and the new remainder 76,and apply the division lemma to get

139 = 76 x 1 + 63

We consider the new divisor 76 and the new remainder 63,and apply the division lemma to get

76 = 63 x 1 + 13

We consider the new divisor 63 and the new remainder 13,and apply the division lemma to get

63 = 13 x 4 + 11

We consider the new divisor 13 and the new remainder 11,and apply the division lemma to get

13 = 11 x 1 + 2

We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get

11 = 2 x 5 + 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 6713 and 3957 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(13,11) = HCF(63,13) = HCF(76,63) = HCF(139,76) = HCF(354,139) = HCF(1201,354) = HCF(2756,1201) = HCF(3957,2756) = HCF(6713,3957) .

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Frequently Asked Questions on HCF of 6713, 3957 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 6713, 3957?

Answer: HCF of 6713, 3957 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6713, 3957 using Euclid's Algorithm?

Answer: For arbitrary numbers 6713, 3957 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.