Highest Common Factor of 2271, 6010 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 2271, 6010 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2271, 6010 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 2271, 6010 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 2271, 6010 is 1.

HCF(2271, 6010) = 1

HCF of 2271, 6010 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 2271, 6010 is 1.

Highest Common Factor of 2271,6010 using Euclid's algorithm

Highest Common Factor of 2271,6010 is 1

Step 1: Since 6010 > 2271, we apply the division lemma to 6010 and 2271, to get

6010 = 2271 x 2 + 1468

Step 2: Since the reminder 2271 ≠ 0, we apply division lemma to 1468 and 2271, to get

2271 = 1468 x 1 + 803

Step 3: We consider the new divisor 1468 and the new remainder 803, and apply the division lemma to get

1468 = 803 x 1 + 665

We consider the new divisor 803 and the new remainder 665,and apply the division lemma to get

803 = 665 x 1 + 138

We consider the new divisor 665 and the new remainder 138,and apply the division lemma to get

665 = 138 x 4 + 113

We consider the new divisor 138 and the new remainder 113,and apply the division lemma to get

138 = 113 x 1 + 25

We consider the new divisor 113 and the new remainder 25,and apply the division lemma to get

113 = 25 x 4 + 13

We consider the new divisor 25 and the new remainder 13,and apply the division lemma to get

25 = 13 x 1 + 12

We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get

13 = 12 x 1 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2271 and 6010 is 1

Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(25,13) = HCF(113,25) = HCF(138,113) = HCF(665,138) = HCF(803,665) = HCF(1468,803) = HCF(2271,1468) = HCF(6010,2271) .

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Frequently Asked Questions on HCF of 2271, 6010 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 2271, 6010?

Answer: HCF of 2271, 6010 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2271, 6010 using Euclid's Algorithm?

Answer: For arbitrary numbers 2271, 6010 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.