Highest Common Factor of 7234, 4651 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 7234, 4651 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7234, 4651 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 7234, 4651 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 7234, 4651 is 1.

HCF(7234, 4651) = 1

HCF of 7234, 4651 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 7234, 4651 is 1.

Highest Common Factor of 7234,4651 using Euclid's algorithm

Highest Common Factor of 7234,4651 is 1

Step 1: Since 7234 > 4651, we apply the division lemma to 7234 and 4651, to get

7234 = 4651 x 1 + 2583

Step 2: Since the reminder 4651 ≠ 0, we apply division lemma to 2583 and 4651, to get

4651 = 2583 x 1 + 2068

Step 3: We consider the new divisor 2583 and the new remainder 2068, and apply the division lemma to get

2583 = 2068 x 1 + 515

We consider the new divisor 2068 and the new remainder 515,and apply the division lemma to get

2068 = 515 x 4 + 8

We consider the new divisor 515 and the new remainder 8,and apply the division lemma to get

515 = 8 x 64 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 7234 and 4651 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(515,8) = HCF(2068,515) = HCF(2583,2068) = HCF(4651,2583) = HCF(7234,4651) .

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Frequently Asked Questions on HCF of 7234, 4651 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 7234, 4651?

Answer: HCF of 7234, 4651 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7234, 4651 using Euclid's Algorithm?

Answer: For arbitrary numbers 7234, 4651 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.