Highest Common Factor of 6524, 2481 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 6524, 2481 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6524, 2481 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 6524, 2481 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 6524, 2481 is 1.

HCF(6524, 2481) = 1

HCF of 6524, 2481 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 6524, 2481 is 1.

Highest Common Factor of 6524,2481 using Euclid's algorithm

Highest Common Factor of 6524,2481 is 1

Step 1: Since 6524 > 2481, we apply the division lemma to 6524 and 2481, to get

6524 = 2481 x 2 + 1562

Step 2: Since the reminder 2481 ≠ 0, we apply division lemma to 1562 and 2481, to get

2481 = 1562 x 1 + 919

Step 3: We consider the new divisor 1562 and the new remainder 919, and apply the division lemma to get

1562 = 919 x 1 + 643

We consider the new divisor 919 and the new remainder 643,and apply the division lemma to get

919 = 643 x 1 + 276

We consider the new divisor 643 and the new remainder 276,and apply the division lemma to get

643 = 276 x 2 + 91

We consider the new divisor 276 and the new remainder 91,and apply the division lemma to get

276 = 91 x 3 + 3

We consider the new divisor 91 and the new remainder 3,and apply the division lemma to get

91 = 3 x 30 + 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 6524 and 2481 is 1

Notice that 1 = HCF(3,1) = HCF(91,3) = HCF(276,91) = HCF(643,276) = HCF(919,643) = HCF(1562,919) = HCF(2481,1562) = HCF(6524,2481) .

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Frequently Asked Questions on HCF of 6524, 2481 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 6524, 2481?

Answer: HCF of 6524, 2481 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6524, 2481 using Euclid's Algorithm?

Answer: For arbitrary numbers 6524, 2481 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.