Highest Common Factor of 7104, 7951 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 7104, 7951 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7104, 7951 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 7104, 7951 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 7104, 7951 is 1.

HCF(7104, 7951) = 1

HCF of 7104, 7951 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 7104, 7951 is 1.

Highest Common Factor of 7104,7951 using Euclid's algorithm

Highest Common Factor of 7104,7951 is 1

Step 1: Since 7951 > 7104, we apply the division lemma to 7951 and 7104, to get

7951 = 7104 x 1 + 847

Step 2: Since the reminder 7104 ≠ 0, we apply division lemma to 847 and 7104, to get

7104 = 847 x 8 + 328

Step 3: We consider the new divisor 847 and the new remainder 328, and apply the division lemma to get

847 = 328 x 2 + 191

We consider the new divisor 328 and the new remainder 191,and apply the division lemma to get

328 = 191 x 1 + 137

We consider the new divisor 191 and the new remainder 137,and apply the division lemma to get

191 = 137 x 1 + 54

We consider the new divisor 137 and the new remainder 54,and apply the division lemma to get

137 = 54 x 2 + 29

We consider the new divisor 54 and the new remainder 29,and apply the division lemma to get

54 = 29 x 1 + 25

We consider the new divisor 29 and the new remainder 25,and apply the division lemma to get

29 = 25 x 1 + 4

We consider the new divisor 25 and the new remainder 4,and apply the division lemma to get

25 = 4 x 6 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7104 and 7951 is 1

Notice that 1 = HCF(4,1) = HCF(25,4) = HCF(29,25) = HCF(54,29) = HCF(137,54) = HCF(191,137) = HCF(328,191) = HCF(847,328) = HCF(7104,847) = HCF(7951,7104) .

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Frequently Asked Questions on HCF of 7104, 7951 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 7104, 7951?

Answer: HCF of 7104, 7951 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7104, 7951 using Euclid's Algorithm?

Answer: For arbitrary numbers 7104, 7951 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.