Highest Common Factor of 6763, 2561 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 6763, 2561 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6763, 2561 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 6763, 2561 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 6763, 2561 is 1.

HCF(6763, 2561) = 1

HCF of 6763, 2561 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 6763, 2561 is 1.

Highest Common Factor of 6763,2561 using Euclid's algorithm

Highest Common Factor of 6763,2561 is 1

Step 1: Since 6763 > 2561, we apply the division lemma to 6763 and 2561, to get

6763 = 2561 x 2 + 1641

Step 2: Since the reminder 2561 ≠ 0, we apply division lemma to 1641 and 2561, to get

2561 = 1641 x 1 + 920

Step 3: We consider the new divisor 1641 and the new remainder 920, and apply the division lemma to get

1641 = 920 x 1 + 721

We consider the new divisor 920 and the new remainder 721,and apply the division lemma to get

920 = 721 x 1 + 199

We consider the new divisor 721 and the new remainder 199,and apply the division lemma to get

721 = 199 x 3 + 124

We consider the new divisor 199 and the new remainder 124,and apply the division lemma to get

199 = 124 x 1 + 75

We consider the new divisor 124 and the new remainder 75,and apply the division lemma to get

124 = 75 x 1 + 49

We consider the new divisor 75 and the new remainder 49,and apply the division lemma to get

75 = 49 x 1 + 26

We consider the new divisor 49 and the new remainder 26,and apply the division lemma to get

49 = 26 x 1 + 23

We consider the new divisor 26 and the new remainder 23,and apply the division lemma to get

26 = 23 x 1 + 3

We consider the new divisor 23 and the new remainder 3,and apply the division lemma to get

23 = 3 x 7 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 6763 and 2561 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(23,3) = HCF(26,23) = HCF(49,26) = HCF(75,49) = HCF(124,75) = HCF(199,124) = HCF(721,199) = HCF(920,721) = HCF(1641,920) = HCF(2561,1641) = HCF(6763,2561) .

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Frequently Asked Questions on HCF of 6763, 2561 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 6763, 2561?

Answer: HCF of 6763, 2561 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6763, 2561 using Euclid's Algorithm?

Answer: For arbitrary numbers 6763, 2561 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.