Highest Common Factor of 8624, 3967 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 8624, 3967 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8624, 3967 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 8624, 3967 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 8624, 3967 is 1.

HCF(8624, 3967) = 1

HCF of 8624, 3967 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 8624, 3967 is 1.

Highest Common Factor of 8624,3967 using Euclid's algorithm

Highest Common Factor of 8624,3967 is 1

Step 1: Since 8624 > 3967, we apply the division lemma to 8624 and 3967, to get

8624 = 3967 x 2 + 690

Step 2: Since the reminder 3967 ≠ 0, we apply division lemma to 690 and 3967, to get

3967 = 690 x 5 + 517

Step 3: We consider the new divisor 690 and the new remainder 517, and apply the division lemma to get

690 = 517 x 1 + 173

We consider the new divisor 517 and the new remainder 173,and apply the division lemma to get

517 = 173 x 2 + 171

We consider the new divisor 173 and the new remainder 171,and apply the division lemma to get

173 = 171 x 1 + 2

We consider the new divisor 171 and the new remainder 2,and apply the division lemma to get

171 = 2 x 85 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8624 and 3967 is 1

Notice that 1 = HCF(2,1) = HCF(171,2) = HCF(173,171) = HCF(517,173) = HCF(690,517) = HCF(3967,690) = HCF(8624,3967) .

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Frequently Asked Questions on HCF of 8624, 3967 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 8624, 3967?

Answer: HCF of 8624, 3967 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8624, 3967 using Euclid's Algorithm?

Answer: For arbitrary numbers 8624, 3967 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.