Highest Common Factor of 6679, 3687 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 6679, 3687 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6679, 3687 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 6679, 3687 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 6679, 3687 is 1.

HCF(6679, 3687) = 1

HCF of 6679, 3687 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 6679, 3687 is 1.

Highest Common Factor of 6679,3687 using Euclid's algorithm

Highest Common Factor of 6679,3687 is 1

Step 1: Since 6679 > 3687, we apply the division lemma to 6679 and 3687, to get

6679 = 3687 x 1 + 2992

Step 2: Since the reminder 3687 ≠ 0, we apply division lemma to 2992 and 3687, to get

3687 = 2992 x 1 + 695

Step 3: We consider the new divisor 2992 and the new remainder 695, and apply the division lemma to get

2992 = 695 x 4 + 212

We consider the new divisor 695 and the new remainder 212,and apply the division lemma to get

695 = 212 x 3 + 59

We consider the new divisor 212 and the new remainder 59,and apply the division lemma to get

212 = 59 x 3 + 35

We consider the new divisor 59 and the new remainder 35,and apply the division lemma to get

59 = 35 x 1 + 24

We consider the new divisor 35 and the new remainder 24,and apply the division lemma to get

35 = 24 x 1 + 11

We consider the new divisor 24 and the new remainder 11,and apply the division lemma to get

24 = 11 x 2 + 2

We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get

11 = 2 x 5 + 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 6679 and 3687 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(24,11) = HCF(35,24) = HCF(59,35) = HCF(212,59) = HCF(695,212) = HCF(2992,695) = HCF(3687,2992) = HCF(6679,3687) .

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Frequently Asked Questions on HCF of 6679, 3687 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 6679, 3687?

Answer: HCF of 6679, 3687 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6679, 3687 using Euclid's Algorithm?

Answer: For arbitrary numbers 6679, 3687 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.