Highest Common Factor of 2351, 1027 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 2351, 1027 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2351, 1027 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 2351, 1027 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 2351, 1027 is 1.

HCF(2351, 1027) = 1

HCF of 2351, 1027 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 2351, 1027 is 1.

Highest Common Factor of 2351,1027 using Euclid's algorithm

Highest Common Factor of 2351,1027 is 1

Step 1: Since 2351 > 1027, we apply the division lemma to 2351 and 1027, to get

2351 = 1027 x 2 + 297

Step 2: Since the reminder 1027 ≠ 0, we apply division lemma to 297 and 1027, to get

1027 = 297 x 3 + 136

Step 3: We consider the new divisor 297 and the new remainder 136, and apply the division lemma to get

297 = 136 x 2 + 25

We consider the new divisor 136 and the new remainder 25,and apply the division lemma to get

136 = 25 x 5 + 11

We consider the new divisor 25 and the new remainder 11,and apply the division lemma to get

25 = 11 x 2 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2351 and 1027 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(25,11) = HCF(136,25) = HCF(297,136) = HCF(1027,297) = HCF(2351,1027) .

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Frequently Asked Questions on HCF of 2351, 1027 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 2351, 1027?

Answer: HCF of 2351, 1027 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2351, 1027 using Euclid's Algorithm?

Answer: For arbitrary numbers 2351, 1027 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.