Highest Common Factor of 751, 427 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 751, 427 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 751, 427 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 751, 427 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 751, 427 is 1.

HCF(751, 427) = 1

HCF of 751, 427 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 751, 427 is 1.

Highest Common Factor of 751,427 using Euclid's algorithm

Highest Common Factor of 751,427 is 1

Step 1: Since 751 > 427, we apply the division lemma to 751 and 427, to get

751 = 427 x 1 + 324

Step 2: Since the reminder 427 ≠ 0, we apply division lemma to 324 and 427, to get

427 = 324 x 1 + 103

Step 3: We consider the new divisor 324 and the new remainder 103, and apply the division lemma to get

324 = 103 x 3 + 15

We consider the new divisor 103 and the new remainder 15,and apply the division lemma to get

103 = 15 x 6 + 13

We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get

15 = 13 x 1 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 751 and 427 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(103,15) = HCF(324,103) = HCF(427,324) = HCF(751,427) .

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Frequently Asked Questions on HCF of 751, 427 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 751, 427?

Answer: HCF of 751, 427 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 751, 427 using Euclid's Algorithm?

Answer: For arbitrary numbers 751, 427 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.