Highest Common Factor of 8761, 6279 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 8761, 6279 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8761, 6279 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 8761, 6279 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 8761, 6279 is 1.

HCF(8761, 6279) = 1

HCF of 8761, 6279 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 8761, 6279 is 1.

Highest Common Factor of 8761,6279 using Euclid's algorithm

Highest Common Factor of 8761,6279 is 1

Step 1: Since 8761 > 6279, we apply the division lemma to 8761 and 6279, to get

8761 = 6279 x 1 + 2482

Step 2: Since the reminder 6279 ≠ 0, we apply division lemma to 2482 and 6279, to get

6279 = 2482 x 2 + 1315

Step 3: We consider the new divisor 2482 and the new remainder 1315, and apply the division lemma to get

2482 = 1315 x 1 + 1167

We consider the new divisor 1315 and the new remainder 1167,and apply the division lemma to get

1315 = 1167 x 1 + 148

We consider the new divisor 1167 and the new remainder 148,and apply the division lemma to get

1167 = 148 x 7 + 131

We consider the new divisor 148 and the new remainder 131,and apply the division lemma to get

148 = 131 x 1 + 17

We consider the new divisor 131 and the new remainder 17,and apply the division lemma to get

131 = 17 x 7 + 12

We consider the new divisor 17 and the new remainder 12,and apply the division lemma to get

17 = 12 x 1 + 5

We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get

12 = 5 x 2 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 8761 and 6279 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(17,12) = HCF(131,17) = HCF(148,131) = HCF(1167,148) = HCF(1315,1167) = HCF(2482,1315) = HCF(6279,2482) = HCF(8761,6279) .

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Frequently Asked Questions on HCF of 8761, 6279 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 8761, 6279?

Answer: HCF of 8761, 6279 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8761, 6279 using Euclid's Algorithm?

Answer: For arbitrary numbers 8761, 6279 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.