Highest Common Factor of 7481, 8249 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 7481, 8249 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7481, 8249 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 7481, 8249 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 7481, 8249 is 1.

HCF(7481, 8249) = 1

HCF of 7481, 8249 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 7481, 8249 is 1.

Highest Common Factor of 7481,8249 using Euclid's algorithm

Highest Common Factor of 7481,8249 is 1

Step 1: Since 8249 > 7481, we apply the division lemma to 8249 and 7481, to get

8249 = 7481 x 1 + 768

Step 2: Since the reminder 7481 ≠ 0, we apply division lemma to 768 and 7481, to get

7481 = 768 x 9 + 569

Step 3: We consider the new divisor 768 and the new remainder 569, and apply the division lemma to get

768 = 569 x 1 + 199

We consider the new divisor 569 and the new remainder 199,and apply the division lemma to get

569 = 199 x 2 + 171

We consider the new divisor 199 and the new remainder 171,and apply the division lemma to get

199 = 171 x 1 + 28

We consider the new divisor 171 and the new remainder 28,and apply the division lemma to get

171 = 28 x 6 + 3

We consider the new divisor 28 and the new remainder 3,and apply the division lemma to get

28 = 3 x 9 + 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 7481 and 8249 is 1

Notice that 1 = HCF(3,1) = HCF(28,3) = HCF(171,28) = HCF(199,171) = HCF(569,199) = HCF(768,569) = HCF(7481,768) = HCF(8249,7481) .

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Frequently Asked Questions on HCF of 7481, 8249 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 7481, 8249?

Answer: HCF of 7481, 8249 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7481, 8249 using Euclid's Algorithm?

Answer: For arbitrary numbers 7481, 8249 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.