Highest Common Factor of 8983, 4621 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 8983, 4621 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8983, 4621 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 8983, 4621 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 8983, 4621 is 1.

HCF(8983, 4621) = 1

HCF of 8983, 4621 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 8983, 4621 is 1.

Highest Common Factor of 8983,4621 using Euclid's algorithm

Highest Common Factor of 8983,4621 is 1

Step 1: Since 8983 > 4621, we apply the division lemma to 8983 and 4621, to get

8983 = 4621 x 1 + 4362

Step 2: Since the reminder 4621 ≠ 0, we apply division lemma to 4362 and 4621, to get

4621 = 4362 x 1 + 259

Step 3: We consider the new divisor 4362 and the new remainder 259, and apply the division lemma to get

4362 = 259 x 16 + 218

We consider the new divisor 259 and the new remainder 218,and apply the division lemma to get

259 = 218 x 1 + 41

We consider the new divisor 218 and the new remainder 41,and apply the division lemma to get

218 = 41 x 5 + 13

We consider the new divisor 41 and the new remainder 13,and apply the division lemma to get

41 = 13 x 3 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 8983 and 4621 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(41,13) = HCF(218,41) = HCF(259,218) = HCF(4362,259) = HCF(4621,4362) = HCF(8983,4621) .

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Frequently Asked Questions on HCF of 8983, 4621 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 8983, 4621?

Answer: HCF of 8983, 4621 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8983, 4621 using Euclid's Algorithm?

Answer: For arbitrary numbers 8983, 4621 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.