Highest Common Factor of 4271, 3128 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 4271, 3128 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4271, 3128 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 4271, 3128 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 4271, 3128 is 1.

HCF(4271, 3128) = 1

HCF of 4271, 3128 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 4271, 3128 is 1.

Highest Common Factor of 4271,3128 using Euclid's algorithm

Highest Common Factor of 4271,3128 is 1

Step 1: Since 4271 > 3128, we apply the division lemma to 4271 and 3128, to get

4271 = 3128 x 1 + 1143

Step 2: Since the reminder 3128 ≠ 0, we apply division lemma to 1143 and 3128, to get

3128 = 1143 x 2 + 842

Step 3: We consider the new divisor 1143 and the new remainder 842, and apply the division lemma to get

1143 = 842 x 1 + 301

We consider the new divisor 842 and the new remainder 301,and apply the division lemma to get

842 = 301 x 2 + 240

We consider the new divisor 301 and the new remainder 240,and apply the division lemma to get

301 = 240 x 1 + 61

We consider the new divisor 240 and the new remainder 61,and apply the division lemma to get

240 = 61 x 3 + 57

We consider the new divisor 61 and the new remainder 57,and apply the division lemma to get

61 = 57 x 1 + 4

We consider the new divisor 57 and the new remainder 4,and apply the division lemma to get

57 = 4 x 14 + 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 4271 and 3128 is 1

Notice that 1 = HCF(4,1) = HCF(57,4) = HCF(61,57) = HCF(240,61) = HCF(301,240) = HCF(842,301) = HCF(1143,842) = HCF(3128,1143) = HCF(4271,3128) .

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Frequently Asked Questions on HCF of 4271, 3128 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 4271, 3128?

Answer: HCF of 4271, 3128 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4271, 3128 using Euclid's Algorithm?

Answer: For arbitrary numbers 4271, 3128 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.