Highest Common Factor of 7591, 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 7591, 427 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7591, 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 7591, 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 7591, 427 is 1.

HCF(7591, 427) = 1

HCF of 7591, 427 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 7591, 427 is 1.

Highest Common Factor of 7591,427 using Euclid's algorithm

Highest Common Factor of 7591,427 is 1

Step 1: Since 7591 > 427, we apply the division lemma to 7591 and 427, to get

7591 = 427 x 17 + 332

Step 2: Since the reminder 427 ≠ 0, we apply division lemma to 332 and 427, to get

427 = 332 x 1 + 95

Step 3: We consider the new divisor 332 and the new remainder 95, and apply the division lemma to get

332 = 95 x 3 + 47

We consider the new divisor 95 and the new remainder 47,and apply the division lemma to get

95 = 47 x 2 + 1

We consider the new divisor 47 and the new remainder 1,and apply the division lemma to get

47 = 1 x 47 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7591 and 427 is 1

Notice that 1 = HCF(47,1) = HCF(95,47) = HCF(332,95) = HCF(427,332) = HCF(7591,427) .

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Frequently Asked Questions on HCF of 7591, 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 7591, 427?

Answer: HCF of 7591, 427 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7591, 427 using Euclid's Algorithm?

Answer: For arbitrary numbers 7591, 427 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.