Highest Common Factor of 6724, 3659, 91790 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 6724, 3659, 91790 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6724, 3659, 91790 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 6724, 3659, 91790 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 6724, 3659, 91790 is 1.

HCF(6724, 3659, 91790) = 1

HCF of 6724, 3659, 91790 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 6724, 3659, 91790 is 1.

Highest Common Factor of 6724,3659,91790 using Euclid's algorithm

Highest Common Factor of 6724,3659,91790 is 1

Step 1: Since 6724 > 3659, we apply the division lemma to 6724 and 3659, to get

6724 = 3659 x 1 + 3065

Step 2: Since the reminder 3659 ≠ 0, we apply division lemma to 3065 and 3659, to get

3659 = 3065 x 1 + 594

Step 3: We consider the new divisor 3065 and the new remainder 594, and apply the division lemma to get

3065 = 594 x 5 + 95

We consider the new divisor 594 and the new remainder 95,and apply the division lemma to get

594 = 95 x 6 + 24

We consider the new divisor 95 and the new remainder 24,and apply the division lemma to get

95 = 24 x 3 + 23

We consider the new divisor 24 and the new remainder 23,and apply the division lemma to get

24 = 23 x 1 + 1

We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get

23 = 1 x 23 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6724 and 3659 is 1

Notice that 1 = HCF(23,1) = HCF(24,23) = HCF(95,24) = HCF(594,95) = HCF(3065,594) = HCF(3659,3065) = HCF(6724,3659) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 91790 > 1, we apply the division lemma to 91790 and 1, to get

91790 = 1 x 91790 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 91790 is 1

Notice that 1 = HCF(91790,1) .

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Frequently Asked Questions on HCF of 6724, 3659, 91790 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 6724, 3659, 91790?

Answer: HCF of 6724, 3659, 91790 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6724, 3659, 91790 using Euclid's Algorithm?

Answer: For arbitrary numbers 6724, 3659, 91790 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.