Highest Common Factor of 2626, 7131 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 2626, 7131 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2626, 7131 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 2626, 7131 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 2626, 7131 is 1.

HCF(2626, 7131) = 1

HCF of 2626, 7131 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 2626, 7131 is 1.

Highest Common Factor of 2626,7131 using Euclid's algorithm

Highest Common Factor of 2626,7131 is 1

Step 1: Since 7131 > 2626, we apply the division lemma to 7131 and 2626, to get

7131 = 2626 x 2 + 1879

Step 2: Since the reminder 2626 ≠ 0, we apply division lemma to 1879 and 2626, to get

2626 = 1879 x 1 + 747

Step 3: We consider the new divisor 1879 and the new remainder 747, and apply the division lemma to get

1879 = 747 x 2 + 385

We consider the new divisor 747 and the new remainder 385,and apply the division lemma to get

747 = 385 x 1 + 362

We consider the new divisor 385 and the new remainder 362,and apply the division lemma to get

385 = 362 x 1 + 23

We consider the new divisor 362 and the new remainder 23,and apply the division lemma to get

362 = 23 x 15 + 17

We consider the new divisor 23 and the new remainder 17,and apply the division lemma to get

23 = 17 x 1 + 6

We consider the new divisor 17 and the new remainder 6,and apply the division lemma to get

17 = 6 x 2 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2626 and 7131 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(17,6) = HCF(23,17) = HCF(362,23) = HCF(385,362) = HCF(747,385) = HCF(1879,747) = HCF(2626,1879) = HCF(7131,2626) .

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Frequently Asked Questions on HCF of 2626, 7131 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 2626, 7131?

Answer: HCF of 2626, 7131 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2626, 7131 using Euclid's Algorithm?

Answer: For arbitrary numbers 2626, 7131 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.