Highest Common Factor of 8623, 3566 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 8623, 3566 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8623, 3566 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 8623, 3566 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 8623, 3566 is 1.

HCF(8623, 3566) = 1

HCF of 8623, 3566 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 8623, 3566 is 1.

Highest Common Factor of 8623,3566 using Euclid's algorithm

Highest Common Factor of 8623,3566 is 1

Step 1: Since 8623 > 3566, we apply the division lemma to 8623 and 3566, to get

8623 = 3566 x 2 + 1491

Step 2: Since the reminder 3566 ≠ 0, we apply division lemma to 1491 and 3566, to get

3566 = 1491 x 2 + 584

Step 3: We consider the new divisor 1491 and the new remainder 584, and apply the division lemma to get

1491 = 584 x 2 + 323

We consider the new divisor 584 and the new remainder 323,and apply the division lemma to get

584 = 323 x 1 + 261

We consider the new divisor 323 and the new remainder 261,and apply the division lemma to get

323 = 261 x 1 + 62

We consider the new divisor 261 and the new remainder 62,and apply the division lemma to get

261 = 62 x 4 + 13

We consider the new divisor 62 and the new remainder 13,and apply the division lemma to get

62 = 13 x 4 + 10

We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get

13 = 10 x 1 + 3

We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get

10 = 3 x 3 + 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 8623 and 3566 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(62,13) = HCF(261,62) = HCF(323,261) = HCF(584,323) = HCF(1491,584) = HCF(3566,1491) = HCF(8623,3566) .

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Frequently Asked Questions on HCF of 8623, 3566 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 8623, 3566?

Answer: HCF of 8623, 3566 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8623, 3566 using Euclid's Algorithm?

Answer: For arbitrary numbers 8623, 3566 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.