Highest Common Factor of 4679, 7631 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 4679, 7631 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4679, 7631 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 4679, 7631 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 4679, 7631 is 1.

HCF(4679, 7631) = 1

HCF of 4679, 7631 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 4679, 7631 is 1.

Highest Common Factor of 4679,7631 using Euclid's algorithm

Highest Common Factor of 4679,7631 is 1

Step 1: Since 7631 > 4679, we apply the division lemma to 7631 and 4679, to get

7631 = 4679 x 1 + 2952

Step 2: Since the reminder 4679 ≠ 0, we apply division lemma to 2952 and 4679, to get

4679 = 2952 x 1 + 1727

Step 3: We consider the new divisor 2952 and the new remainder 1727, and apply the division lemma to get

2952 = 1727 x 1 + 1225

We consider the new divisor 1727 and the new remainder 1225,and apply the division lemma to get

1727 = 1225 x 1 + 502

We consider the new divisor 1225 and the new remainder 502,and apply the division lemma to get

1225 = 502 x 2 + 221

We consider the new divisor 502 and the new remainder 221,and apply the division lemma to get

502 = 221 x 2 + 60

We consider the new divisor 221 and the new remainder 60,and apply the division lemma to get

221 = 60 x 3 + 41

We consider the new divisor 60 and the new remainder 41,and apply the division lemma to get

60 = 41 x 1 + 19

We consider the new divisor 41 and the new remainder 19,and apply the division lemma to get

41 = 19 x 2 + 3

We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get

19 = 3 x 6 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4679 and 7631 is 1

Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(41,19) = HCF(60,41) = HCF(221,60) = HCF(502,221) = HCF(1225,502) = HCF(1727,1225) = HCF(2952,1727) = HCF(4679,2952) = HCF(7631,4679) .

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Frequently Asked Questions on HCF of 4679, 7631 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 4679, 7631?

Answer: HCF of 4679, 7631 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4679, 7631 using Euclid's Algorithm?

Answer: For arbitrary numbers 4679, 7631 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.