Highest Common Factor of 3631, 4914 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 3631, 4914 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3631, 4914 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 3631, 4914 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 3631, 4914 is 1.

HCF(3631, 4914) = 1

HCF of 3631, 4914 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 3631, 4914 is 1.

Highest Common Factor of 3631,4914 using Euclid's algorithm

Highest Common Factor of 3631,4914 is 1

Step 1: Since 4914 > 3631, we apply the division lemma to 4914 and 3631, to get

4914 = 3631 x 1 + 1283

Step 2: Since the reminder 3631 ≠ 0, we apply division lemma to 1283 and 3631, to get

3631 = 1283 x 2 + 1065

Step 3: We consider the new divisor 1283 and the new remainder 1065, and apply the division lemma to get

1283 = 1065 x 1 + 218

We consider the new divisor 1065 and the new remainder 218,and apply the division lemma to get

1065 = 218 x 4 + 193

We consider the new divisor 218 and the new remainder 193,and apply the division lemma to get

218 = 193 x 1 + 25

We consider the new divisor 193 and the new remainder 25,and apply the division lemma to get

193 = 25 x 7 + 18

We consider the new divisor 25 and the new remainder 18,and apply the division lemma to get

25 = 18 x 1 + 7

We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get

18 = 7 x 2 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 3631 and 4914 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(25,18) = HCF(193,25) = HCF(218,193) = HCF(1065,218) = HCF(1283,1065) = HCF(3631,1283) = HCF(4914,3631) .

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Frequently Asked Questions on HCF of 3631, 4914 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 3631, 4914?

Answer: HCF of 3631, 4914 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3631, 4914 using Euclid's Algorithm?

Answer: For arbitrary numbers 3631, 4914 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.