Highest Common Factor of 2476, 3700 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 2476, 3700 i.e. 4 the largest integer that leaves a remainder zero for all numbers.

HCF of 2476, 3700 is 4 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 2476, 3700 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 2476, 3700 is 4.

HCF(2476, 3700) = 4

HCF of 2476, 3700 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 2476, 3700 is 4.

Highest Common Factor of 2476,3700 using Euclid's algorithm

Highest Common Factor of 2476,3700 is 4

Step 1: Since 3700 > 2476, we apply the division lemma to 3700 and 2476, to get

3700 = 2476 x 1 + 1224

Step 2: Since the reminder 2476 ≠ 0, we apply division lemma to 1224 and 2476, to get

2476 = 1224 x 2 + 28

Step 3: We consider the new divisor 1224 and the new remainder 28, and apply the division lemma to get

1224 = 28 x 43 + 20

We consider the new divisor 28 and the new remainder 20,and apply the division lemma to get

28 = 20 x 1 + 8

We consider the new divisor 20 and the new remainder 8,and apply the division lemma to get

20 = 8 x 2 + 4

We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get

8 = 4 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 2476 and 3700 is 4

Notice that 4 = HCF(8,4) = HCF(20,8) = HCF(28,20) = HCF(1224,28) = HCF(2476,1224) = HCF(3700,2476) .

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Frequently Asked Questions on HCF of 2476, 3700 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 2476, 3700?

Answer: HCF of 2476, 3700 is 4 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2476, 3700 using Euclid's Algorithm?

Answer: For arbitrary numbers 2476, 3700 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.