Highest Common Factor of 3051, 4768 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 3051, 4768 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3051, 4768 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 3051, 4768 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 3051, 4768 is 1.

HCF(3051, 4768) = 1

HCF of 3051, 4768 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 3051, 4768 is 1.

Highest Common Factor of 3051,4768 using Euclid's algorithm

Highest Common Factor of 3051,4768 is 1

Step 1: Since 4768 > 3051, we apply the division lemma to 4768 and 3051, to get

4768 = 3051 x 1 + 1717

Step 2: Since the reminder 3051 ≠ 0, we apply division lemma to 1717 and 3051, to get

3051 = 1717 x 1 + 1334

Step 3: We consider the new divisor 1717 and the new remainder 1334, and apply the division lemma to get

1717 = 1334 x 1 + 383

We consider the new divisor 1334 and the new remainder 383,and apply the division lemma to get

1334 = 383 x 3 + 185

We consider the new divisor 383 and the new remainder 185,and apply the division lemma to get

383 = 185 x 2 + 13

We consider the new divisor 185 and the new remainder 13,and apply the division lemma to get

185 = 13 x 14 + 3

We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get

13 = 3 x 4 + 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 3051 and 4768 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(185,13) = HCF(383,185) = HCF(1334,383) = HCF(1717,1334) = HCF(3051,1717) = HCF(4768,3051) .

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Frequently Asked Questions on HCF of 3051, 4768 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 3051, 4768?

Answer: HCF of 3051, 4768 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3051, 4768 using Euclid's Algorithm?

Answer: For arbitrary numbers 3051, 4768 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.