Highest Common Factor of 6901, 5676 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 6901, 5676 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6901, 5676 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 6901, 5676 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 6901, 5676 is 1.

HCF(6901, 5676) = 1

HCF of 6901, 5676 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 6901, 5676 is 1.

Highest Common Factor of 6901,5676 using Euclid's algorithm

Highest Common Factor of 6901,5676 is 1

Step 1: Since 6901 > 5676, we apply the division lemma to 6901 and 5676, to get

6901 = 5676 x 1 + 1225

Step 2: Since the reminder 5676 ≠ 0, we apply division lemma to 1225 and 5676, to get

5676 = 1225 x 4 + 776

Step 3: We consider the new divisor 1225 and the new remainder 776, and apply the division lemma to get

1225 = 776 x 1 + 449

We consider the new divisor 776 and the new remainder 449,and apply the division lemma to get

776 = 449 x 1 + 327

We consider the new divisor 449 and the new remainder 327,and apply the division lemma to get

449 = 327 x 1 + 122

We consider the new divisor 327 and the new remainder 122,and apply the division lemma to get

327 = 122 x 2 + 83

We consider the new divisor 122 and the new remainder 83,and apply the division lemma to get

122 = 83 x 1 + 39

We consider the new divisor 83 and the new remainder 39,and apply the division lemma to get

83 = 39 x 2 + 5

We consider the new divisor 39 and the new remainder 5,and apply the division lemma to get

39 = 5 x 7 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6901 and 5676 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(39,5) = HCF(83,39) = HCF(122,83) = HCF(327,122) = HCF(449,327) = HCF(776,449) = HCF(1225,776) = HCF(5676,1225) = HCF(6901,5676) .

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Frequently Asked Questions on HCF of 6901, 5676 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 6901, 5676?

Answer: HCF of 6901, 5676 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6901, 5676 using Euclid's Algorithm?

Answer: For arbitrary numbers 6901, 5676 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.