Highest Common Factor of 5024, 9281 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 5024, 9281 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5024, 9281 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 5024, 9281 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 5024, 9281 is 1.

HCF(5024, 9281) = 1

HCF of 5024, 9281 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 5024, 9281 is 1.

Highest Common Factor of 5024,9281 using Euclid's algorithm

Highest Common Factor of 5024,9281 is 1

Step 1: Since 9281 > 5024, we apply the division lemma to 9281 and 5024, to get

9281 = 5024 x 1 + 4257

Step 2: Since the reminder 5024 ≠ 0, we apply division lemma to 4257 and 5024, to get

5024 = 4257 x 1 + 767

Step 3: We consider the new divisor 4257 and the new remainder 767, and apply the division lemma to get

4257 = 767 x 5 + 422

We consider the new divisor 767 and the new remainder 422,and apply the division lemma to get

767 = 422 x 1 + 345

We consider the new divisor 422 and the new remainder 345,and apply the division lemma to get

422 = 345 x 1 + 77

We consider the new divisor 345 and the new remainder 77,and apply the division lemma to get

345 = 77 x 4 + 37

We consider the new divisor 77 and the new remainder 37,and apply the division lemma to get

77 = 37 x 2 + 3

We consider the new divisor 37 and the new remainder 3,and apply the division lemma to get

37 = 3 x 12 + 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 5024 and 9281 is 1

Notice that 1 = HCF(3,1) = HCF(37,3) = HCF(77,37) = HCF(345,77) = HCF(422,345) = HCF(767,422) = HCF(4257,767) = HCF(5024,4257) = HCF(9281,5024) .

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Frequently Asked Questions on HCF of 5024, 9281 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 5024, 9281?

Answer: HCF of 5024, 9281 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5024, 9281 using Euclid's Algorithm?

Answer: For arbitrary numbers 5024, 9281 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.