Highest Common Factor of 2659, 5884 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 2659, 5884 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2659, 5884 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 2659, 5884 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 2659, 5884 is 1.

HCF(2659, 5884) = 1

HCF of 2659, 5884 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 2659, 5884 is 1.

Highest Common Factor of 2659,5884 using Euclid's algorithm

Highest Common Factor of 2659,5884 is 1

Step 1: Since 5884 > 2659, we apply the division lemma to 5884 and 2659, to get

5884 = 2659 x 2 + 566

Step 2: Since the reminder 2659 ≠ 0, we apply division lemma to 566 and 2659, to get

2659 = 566 x 4 + 395

Step 3: We consider the new divisor 566 and the new remainder 395, and apply the division lemma to get

566 = 395 x 1 + 171

We consider the new divisor 395 and the new remainder 171,and apply the division lemma to get

395 = 171 x 2 + 53

We consider the new divisor 171 and the new remainder 53,and apply the division lemma to get

171 = 53 x 3 + 12

We consider the new divisor 53 and the new remainder 12,and apply the division lemma to get

53 = 12 x 4 + 5

We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get

12 = 5 x 2 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 2659 and 5884 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(53,12) = HCF(171,53) = HCF(395,171) = HCF(566,395) = HCF(2659,566) = HCF(5884,2659) .

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Frequently Asked Questions on HCF of 2659, 5884 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 2659, 5884?

Answer: HCF of 2659, 5884 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2659, 5884 using Euclid's Algorithm?

Answer: For arbitrary numbers 2659, 5884 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.