Highest Common Factor of 4081, 7932 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 4081, 7932 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4081, 7932 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 4081, 7932 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 4081, 7932 is 1.

HCF(4081, 7932) = 1

HCF of 4081, 7932 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 4081, 7932 is 1.

Highest Common Factor of 4081,7932 using Euclid's algorithm

Highest Common Factor of 4081,7932 is 1

Step 1: Since 7932 > 4081, we apply the division lemma to 7932 and 4081, to get

7932 = 4081 x 1 + 3851

Step 2: Since the reminder 4081 ≠ 0, we apply division lemma to 3851 and 4081, to get

4081 = 3851 x 1 + 230

Step 3: We consider the new divisor 3851 and the new remainder 230, and apply the division lemma to get

3851 = 230 x 16 + 171

We consider the new divisor 230 and the new remainder 171,and apply the division lemma to get

230 = 171 x 1 + 59

We consider the new divisor 171 and the new remainder 59,and apply the division lemma to get

171 = 59 x 2 + 53

We consider the new divisor 59 and the new remainder 53,and apply the division lemma to get

59 = 53 x 1 + 6

We consider the new divisor 53 and the new remainder 6,and apply the division lemma to get

53 = 6 x 8 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4081 and 7932 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(53,6) = HCF(59,53) = HCF(171,59) = HCF(230,171) = HCF(3851,230) = HCF(4081,3851) = HCF(7932,4081) .

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Frequently Asked Questions on HCF of 4081, 7932 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 4081, 7932?

Answer: HCF of 4081, 7932 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4081, 7932 using Euclid's Algorithm?

Answer: For arbitrary numbers 4081, 7932 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.