Highest Common Factor of 7951, 5698 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 7951, 5698 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7951, 5698 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 7951, 5698 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 7951, 5698 is 1.

HCF(7951, 5698) = 1

HCF of 7951, 5698 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 7951, 5698 is 1.

Highest Common Factor of 7951,5698 using Euclid's algorithm

Highest Common Factor of 7951,5698 is 1

Step 1: Since 7951 > 5698, we apply the division lemma to 7951 and 5698, to get

7951 = 5698 x 1 + 2253

Step 2: Since the reminder 5698 ≠ 0, we apply division lemma to 2253 and 5698, to get

5698 = 2253 x 2 + 1192

Step 3: We consider the new divisor 2253 and the new remainder 1192, and apply the division lemma to get

2253 = 1192 x 1 + 1061

We consider the new divisor 1192 and the new remainder 1061,and apply the division lemma to get

1192 = 1061 x 1 + 131

We consider the new divisor 1061 and the new remainder 131,and apply the division lemma to get

1061 = 131 x 8 + 13

We consider the new divisor 131 and the new remainder 13,and apply the division lemma to get

131 = 13 x 10 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7951 and 5698 is 1

Notice that 1 = HCF(13,1) = HCF(131,13) = HCF(1061,131) = HCF(1192,1061) = HCF(2253,1192) = HCF(5698,2253) = HCF(7951,5698) .

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Frequently Asked Questions on HCF of 7951, 5698 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 7951, 5698?

Answer: HCF of 7951, 5698 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7951, 5698 using Euclid's Algorithm?

Answer: For arbitrary numbers 7951, 5698 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.