Highest Common Factor of 6292, 7538 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 6292, 7538 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 6292, 7538 is 2 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 6292, 7538 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 6292, 7538 is 2.

HCF(6292, 7538) = 2

HCF of 6292, 7538 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 6292, 7538 is 2.

Highest Common Factor of 6292,7538 using Euclid's algorithm

Highest Common Factor of 6292,7538 is 2

Step 1: Since 7538 > 6292, we apply the division lemma to 7538 and 6292, to get

7538 = 6292 x 1 + 1246

Step 2: Since the reminder 6292 ≠ 0, we apply division lemma to 1246 and 6292, to get

6292 = 1246 x 5 + 62

Step 3: We consider the new divisor 1246 and the new remainder 62, and apply the division lemma to get

1246 = 62 x 20 + 6

We consider the new divisor 62 and the new remainder 6,and apply the division lemma to get

62 = 6 x 10 + 2

We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get

6 = 2 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6292 and 7538 is 2

Notice that 2 = HCF(6,2) = HCF(62,6) = HCF(1246,62) = HCF(6292,1246) = HCF(7538,6292) .

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Frequently Asked Questions on HCF of 6292, 7538 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 6292, 7538?

Answer: HCF of 6292, 7538 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6292, 7538 using Euclid's Algorithm?

Answer: For arbitrary numbers 6292, 7538 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.