Highest Common Factor of 6351, 3581 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 6351, 3581 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6351, 3581 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 6351, 3581 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 6351, 3581 is 1.

HCF(6351, 3581) = 1

HCF of 6351, 3581 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 6351, 3581 is 1.

Highest Common Factor of 6351,3581 using Euclid's algorithm

Highest Common Factor of 6351,3581 is 1

Step 1: Since 6351 > 3581, we apply the division lemma to 6351 and 3581, to get

6351 = 3581 x 1 + 2770

Step 2: Since the reminder 3581 ≠ 0, we apply division lemma to 2770 and 3581, to get

3581 = 2770 x 1 + 811

Step 3: We consider the new divisor 2770 and the new remainder 811, and apply the division lemma to get

2770 = 811 x 3 + 337

We consider the new divisor 811 and the new remainder 337,and apply the division lemma to get

811 = 337 x 2 + 137

We consider the new divisor 337 and the new remainder 137,and apply the division lemma to get

337 = 137 x 2 + 63

We consider the new divisor 137 and the new remainder 63,and apply the division lemma to get

137 = 63 x 2 + 11

We consider the new divisor 63 and the new remainder 11,and apply the division lemma to get

63 = 11 x 5 + 8

We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get

11 = 8 x 1 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 6351 and 3581 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(63,11) = HCF(137,63) = HCF(337,137) = HCF(811,337) = HCF(2770,811) = HCF(3581,2770) = HCF(6351,3581) .

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Frequently Asked Questions on HCF of 6351, 3581 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 6351, 3581?

Answer: HCF of 6351, 3581 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6351, 3581 using Euclid's Algorithm?

Answer: For arbitrary numbers 6351, 3581 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.