Highest Common Factor of 7103, 4676 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 7103, 4676 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7103, 4676 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 7103, 4676 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 7103, 4676 is 1.

HCF(7103, 4676) = 1

HCF of 7103, 4676 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 7103, 4676 is 1.

Highest Common Factor of 7103,4676 using Euclid's algorithm

Highest Common Factor of 7103,4676 is 1

Step 1: Since 7103 > 4676, we apply the division lemma to 7103 and 4676, to get

7103 = 4676 x 1 + 2427

Step 2: Since the reminder 4676 ≠ 0, we apply division lemma to 2427 and 4676, to get

4676 = 2427 x 1 + 2249

Step 3: We consider the new divisor 2427 and the new remainder 2249, and apply the division lemma to get

2427 = 2249 x 1 + 178

We consider the new divisor 2249 and the new remainder 178,and apply the division lemma to get

2249 = 178 x 12 + 113

We consider the new divisor 178 and the new remainder 113,and apply the division lemma to get

178 = 113 x 1 + 65

We consider the new divisor 113 and the new remainder 65,and apply the division lemma to get

113 = 65 x 1 + 48

We consider the new divisor 65 and the new remainder 48,and apply the division lemma to get

65 = 48 x 1 + 17

We consider the new divisor 48 and the new remainder 17,and apply the division lemma to get

48 = 17 x 2 + 14

We consider the new divisor 17 and the new remainder 14,and apply the division lemma to get

17 = 14 x 1 + 3

We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get

14 = 3 x 4 + 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 7103 and 4676 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(17,14) = HCF(48,17) = HCF(65,48) = HCF(113,65) = HCF(178,113) = HCF(2249,178) = HCF(2427,2249) = HCF(4676,2427) = HCF(7103,4676) .

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Frequently Asked Questions on HCF of 7103, 4676 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 7103, 4676?

Answer: HCF of 7103, 4676 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7103, 4676 using Euclid's Algorithm?

Answer: For arbitrary numbers 7103, 4676 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.