Highest Common Factor of 3124, 2473 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 3124, 2473 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3124, 2473 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 3124, 2473 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 3124, 2473 is 1.

HCF(3124, 2473) = 1

HCF of 3124, 2473 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 3124, 2473 is 1.

Highest Common Factor of 3124,2473 using Euclid's algorithm

Highest Common Factor of 3124,2473 is 1

Step 1: Since 3124 > 2473, we apply the division lemma to 3124 and 2473, to get

3124 = 2473 x 1 + 651

Step 2: Since the reminder 2473 ≠ 0, we apply division lemma to 651 and 2473, to get

2473 = 651 x 3 + 520

Step 3: We consider the new divisor 651 and the new remainder 520, and apply the division lemma to get

651 = 520 x 1 + 131

We consider the new divisor 520 and the new remainder 131,and apply the division lemma to get

520 = 131 x 3 + 127

We consider the new divisor 131 and the new remainder 127,and apply the division lemma to get

131 = 127 x 1 + 4

We consider the new divisor 127 and the new remainder 4,and apply the division lemma to get

127 = 4 x 31 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 3124 and 2473 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(127,4) = HCF(131,127) = HCF(520,131) = HCF(651,520) = HCF(2473,651) = HCF(3124,2473) .

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Frequently Asked Questions on HCF of 3124, 2473 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 3124, 2473?

Answer: HCF of 3124, 2473 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3124, 2473 using Euclid's Algorithm?

Answer: For arbitrary numbers 3124, 2473 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.