Highest Common Factor of 5867, 6744 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 5867, 6744 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5867, 6744 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 5867, 6744 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 5867, 6744 is 1.

HCF(5867, 6744) = 1

HCF of 5867, 6744 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 5867, 6744 is 1.

Highest Common Factor of 5867,6744 using Euclid's algorithm

Highest Common Factor of 5867,6744 is 1

Step 1: Since 6744 > 5867, we apply the division lemma to 6744 and 5867, to get

6744 = 5867 x 1 + 877

Step 2: Since the reminder 5867 ≠ 0, we apply division lemma to 877 and 5867, to get

5867 = 877 x 6 + 605

Step 3: We consider the new divisor 877 and the new remainder 605, and apply the division lemma to get

877 = 605 x 1 + 272

We consider the new divisor 605 and the new remainder 272,and apply the division lemma to get

605 = 272 x 2 + 61

We consider the new divisor 272 and the new remainder 61,and apply the division lemma to get

272 = 61 x 4 + 28

We consider the new divisor 61 and the new remainder 28,and apply the division lemma to get

61 = 28 x 2 + 5

We consider the new divisor 28 and the new remainder 5,and apply the division lemma to get

28 = 5 x 5 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 5867 and 6744 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(28,5) = HCF(61,28) = HCF(272,61) = HCF(605,272) = HCF(877,605) = HCF(5867,877) = HCF(6744,5867) .

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Frequently Asked Questions on HCF of 5867, 6744 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 5867, 6744?

Answer: HCF of 5867, 6744 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5867, 6744 using Euclid's Algorithm?

Answer: For arbitrary numbers 5867, 6744 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.