Highest Common Factor of 6242, 8629 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 6242, 8629 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6242, 8629 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 6242, 8629 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 6242, 8629 is 1.

HCF(6242, 8629) = 1

HCF of 6242, 8629 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 6242, 8629 is 1.

Highest Common Factor of 6242,8629 using Euclid's algorithm

Highest Common Factor of 6242,8629 is 1

Step 1: Since 8629 > 6242, we apply the division lemma to 8629 and 6242, to get

8629 = 6242 x 1 + 2387

Step 2: Since the reminder 6242 ≠ 0, we apply division lemma to 2387 and 6242, to get

6242 = 2387 x 2 + 1468

Step 3: We consider the new divisor 2387 and the new remainder 1468, and apply the division lemma to get

2387 = 1468 x 1 + 919

We consider the new divisor 1468 and the new remainder 919,and apply the division lemma to get

1468 = 919 x 1 + 549

We consider the new divisor 919 and the new remainder 549,and apply the division lemma to get

919 = 549 x 1 + 370

We consider the new divisor 549 and the new remainder 370,and apply the division lemma to get

549 = 370 x 1 + 179

We consider the new divisor 370 and the new remainder 179,and apply the division lemma to get

370 = 179 x 2 + 12

We consider the new divisor 179 and the new remainder 12,and apply the division lemma to get

179 = 12 x 14 + 11

We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get

12 = 11 x 1 + 1

We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get

11 = 1 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6242 and 8629 is 1

Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(179,12) = HCF(370,179) = HCF(549,370) = HCF(919,549) = HCF(1468,919) = HCF(2387,1468) = HCF(6242,2387) = HCF(8629,6242) .

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Frequently Asked Questions on HCF of 6242, 8629 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 6242, 8629?

Answer: HCF of 6242, 8629 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6242, 8629 using Euclid's Algorithm?

Answer: For arbitrary numbers 6242, 8629 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.