Highest Common Factor of 3971, 7402 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 3971, 7402 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3971, 7402 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 3971, 7402 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 3971, 7402 is 1.

HCF(3971, 7402) = 1

HCF of 3971, 7402 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 3971, 7402 is 1.

Highest Common Factor of 3971,7402 using Euclid's algorithm

Highest Common Factor of 3971,7402 is 1

Step 1: Since 7402 > 3971, we apply the division lemma to 7402 and 3971, to get

7402 = 3971 x 1 + 3431

Step 2: Since the reminder 3971 ≠ 0, we apply division lemma to 3431 and 3971, to get

3971 = 3431 x 1 + 540

Step 3: We consider the new divisor 3431 and the new remainder 540, and apply the division lemma to get

3431 = 540 x 6 + 191

We consider the new divisor 540 and the new remainder 191,and apply the division lemma to get

540 = 191 x 2 + 158

We consider the new divisor 191 and the new remainder 158,and apply the division lemma to get

191 = 158 x 1 + 33

We consider the new divisor 158 and the new remainder 33,and apply the division lemma to get

158 = 33 x 4 + 26

We consider the new divisor 33 and the new remainder 26,and apply the division lemma to get

33 = 26 x 1 + 7

We consider the new divisor 26 and the new remainder 7,and apply the division lemma to get

26 = 7 x 3 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 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 3971 and 7402 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(26,7) = HCF(33,26) = HCF(158,33) = HCF(191,158) = HCF(540,191) = HCF(3431,540) = HCF(3971,3431) = HCF(7402,3971) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 3971, 7402 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 3971, 7402?

Answer: HCF of 3971, 7402 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3971, 7402 using Euclid's Algorithm?

Answer: For arbitrary numbers 3971, 7402 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.