Highest Common Factor of 4149, 2656 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 4149, 2656 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4149, 2656 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 4149, 2656 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 4149, 2656 is 1.

HCF(4149, 2656) = 1

HCF of 4149, 2656 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 4149, 2656 is 1.

Highest Common Factor of 4149,2656 using Euclid's algorithm

Highest Common Factor of 4149,2656 is 1

Step 1: Since 4149 > 2656, we apply the division lemma to 4149 and 2656, to get

4149 = 2656 x 1 + 1493

Step 2: Since the reminder 2656 ≠ 0, we apply division lemma to 1493 and 2656, to get

2656 = 1493 x 1 + 1163

Step 3: We consider the new divisor 1493 and the new remainder 1163, and apply the division lemma to get

1493 = 1163 x 1 + 330

We consider the new divisor 1163 and the new remainder 330,and apply the division lemma to get

1163 = 330 x 3 + 173

We consider the new divisor 330 and the new remainder 173,and apply the division lemma to get

330 = 173 x 1 + 157

We consider the new divisor 173 and the new remainder 157,and apply the division lemma to get

173 = 157 x 1 + 16

We consider the new divisor 157 and the new remainder 16,and apply the division lemma to get

157 = 16 x 9 + 13

We consider the new divisor 16 and the new remainder 13,and apply the division lemma to get

16 = 13 x 1 + 3

We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get

13 = 3 x 4 + 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 4149 and 2656 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) = HCF(157,16) = HCF(173,157) = HCF(330,173) = HCF(1163,330) = HCF(1493,1163) = HCF(2656,1493) = HCF(4149,2656) .

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Frequently Asked Questions on HCF of 4149, 2656 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 4149, 2656?

Answer: HCF of 4149, 2656 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4149, 2656 using Euclid's Algorithm?

Answer: For arbitrary numbers 4149, 2656 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.