Highest Common Factor of 3149, 4291 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 3149, 4291 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3149, 4291 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 3149, 4291 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 3149, 4291 is 1.

HCF(3149, 4291) = 1

HCF of 3149, 4291 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 3149, 4291 is 1.

Highest Common Factor of 3149,4291 using Euclid's algorithm

Highest Common Factor of 3149,4291 is 1

Step 1: Since 4291 > 3149, we apply the division lemma to 4291 and 3149, to get

4291 = 3149 x 1 + 1142

Step 2: Since the reminder 3149 ≠ 0, we apply division lemma to 1142 and 3149, to get

3149 = 1142 x 2 + 865

Step 3: We consider the new divisor 1142 and the new remainder 865, and apply the division lemma to get

1142 = 865 x 1 + 277

We consider the new divisor 865 and the new remainder 277,and apply the division lemma to get

865 = 277 x 3 + 34

We consider the new divisor 277 and the new remainder 34,and apply the division lemma to get

277 = 34 x 8 + 5

We consider the new divisor 34 and the new remainder 5,and apply the division lemma to get

34 = 5 x 6 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 3149 and 4291 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(34,5) = HCF(277,34) = HCF(865,277) = HCF(1142,865) = HCF(3149,1142) = HCF(4291,3149) .

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Frequently Asked Questions on HCF of 3149, 4291 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 3149, 4291?

Answer: HCF of 3149, 4291 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3149, 4291 using Euclid's Algorithm?

Answer: For arbitrary numbers 3149, 4291 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.