Highest Common Factor of 3038, 8637 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 3038, 8637 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3038, 8637 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 3038, 8637 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 3038, 8637 is 1.

HCF(3038, 8637) = 1

HCF of 3038, 8637 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 3038, 8637 is 1.

Highest Common Factor of 3038,8637 using Euclid's algorithm

Highest Common Factor of 3038,8637 is 1

Step 1: Since 8637 > 3038, we apply the division lemma to 8637 and 3038, to get

8637 = 3038 x 2 + 2561

Step 2: Since the reminder 3038 ≠ 0, we apply division lemma to 2561 and 3038, to get

3038 = 2561 x 1 + 477

Step 3: We consider the new divisor 2561 and the new remainder 477, and apply the division lemma to get

2561 = 477 x 5 + 176

We consider the new divisor 477 and the new remainder 176,and apply the division lemma to get

477 = 176 x 2 + 125

We consider the new divisor 176 and the new remainder 125,and apply the division lemma to get

176 = 125 x 1 + 51

We consider the new divisor 125 and the new remainder 51,and apply the division lemma to get

125 = 51 x 2 + 23

We consider the new divisor 51 and the new remainder 23,and apply the division lemma to get

51 = 23 x 2 + 5

We consider the new divisor 23 and the new remainder 5,and apply the division lemma to get

23 = 5 x 4 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 3038 and 8637 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(23,5) = HCF(51,23) = HCF(125,51) = HCF(176,125) = HCF(477,176) = HCF(2561,477) = HCF(3038,2561) = HCF(8637,3038) .

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Frequently Asked Questions on HCF of 3038, 8637 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 3038, 8637?

Answer: HCF of 3038, 8637 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3038, 8637 using Euclid's Algorithm?

Answer: For arbitrary numbers 3038, 8637 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.