Highest Common Factor of 7151, 4593 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 7151, 4593 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7151, 4593 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 7151, 4593 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 7151, 4593 is 1.

HCF(7151, 4593) = 1

HCF of 7151, 4593 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 7151, 4593 is 1.

Highest Common Factor of 7151,4593 using Euclid's algorithm

Highest Common Factor of 7151,4593 is 1

Step 1: Since 7151 > 4593, we apply the division lemma to 7151 and 4593, to get

7151 = 4593 x 1 + 2558

Step 2: Since the reminder 4593 ≠ 0, we apply division lemma to 2558 and 4593, to get

4593 = 2558 x 1 + 2035

Step 3: We consider the new divisor 2558 and the new remainder 2035, and apply the division lemma to get

2558 = 2035 x 1 + 523

We consider the new divisor 2035 and the new remainder 523,and apply the division lemma to get

2035 = 523 x 3 + 466

We consider the new divisor 523 and the new remainder 466,and apply the division lemma to get

523 = 466 x 1 + 57

We consider the new divisor 466 and the new remainder 57,and apply the division lemma to get

466 = 57 x 8 + 10

We consider the new divisor 57 and the new remainder 10,and apply the division lemma to get

57 = 10 x 5 + 7

We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get

10 = 7 x 1 + 3

We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get

7 = 3 x 2 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7151 and 4593 is 1

Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(57,10) = HCF(466,57) = HCF(523,466) = HCF(2035,523) = HCF(2558,2035) = HCF(4593,2558) = HCF(7151,4593) .

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Frequently Asked Questions on HCF of 7151, 4593 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 7151, 4593?

Answer: HCF of 7151, 4593 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7151, 4593 using Euclid's Algorithm?

Answer: For arbitrary numbers 7151, 4593 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.