Highest Common Factor of 4061, 9451 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 4061, 9451 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4061, 9451 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 4061, 9451 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 4061, 9451 is 1.

HCF(4061, 9451) = 1

HCF of 4061, 9451 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 4061, 9451 is 1.

Highest Common Factor of 4061,9451 using Euclid's algorithm

Highest Common Factor of 4061,9451 is 1

Step 1: Since 9451 > 4061, we apply the division lemma to 9451 and 4061, to get

9451 = 4061 x 2 + 1329

Step 2: Since the reminder 4061 ≠ 0, we apply division lemma to 1329 and 4061, to get

4061 = 1329 x 3 + 74

Step 3: We consider the new divisor 1329 and the new remainder 74, and apply the division lemma to get

1329 = 74 x 17 + 71

We consider the new divisor 74 and the new remainder 71,and apply the division lemma to get

74 = 71 x 1 + 3

We consider the new divisor 71 and the new remainder 3,and apply the division lemma to get

71 = 3 x 23 + 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 4061 and 9451 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(71,3) = HCF(74,71) = HCF(1329,74) = HCF(4061,1329) = HCF(9451,4061) .

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Frequently Asked Questions on HCF of 4061, 9451 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 4061, 9451?

Answer: HCF of 4061, 9451 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4061, 9451 using Euclid's Algorithm?

Answer: For arbitrary numbers 4061, 9451 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.