Highest Common Factor of 613, 3461 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 613, 3461 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 613, 3461 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 613, 3461 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 613, 3461 is 1.

HCF(613, 3461) = 1

HCF of 613, 3461 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 613, 3461 is 1.

Highest Common Factor of 613,3461 using Euclid's algorithm

Highest Common Factor of 613,3461 is 1

Step 1: Since 3461 > 613, we apply the division lemma to 3461 and 613, to get

3461 = 613 x 5 + 396

Step 2: Since the reminder 613 ≠ 0, we apply division lemma to 396 and 613, to get

613 = 396 x 1 + 217

Step 3: We consider the new divisor 396 and the new remainder 217, and apply the division lemma to get

396 = 217 x 1 + 179

We consider the new divisor 217 and the new remainder 179,and apply the division lemma to get

217 = 179 x 1 + 38

We consider the new divisor 179 and the new remainder 38,and apply the division lemma to get

179 = 38 x 4 + 27

We consider the new divisor 38 and the new remainder 27,and apply the division lemma to get

38 = 27 x 1 + 11

We consider the new divisor 27 and the new remainder 11,and apply the division lemma to get

27 = 11 x 2 + 5

We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get

11 = 5 x 2 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 613 and 3461 is 1

Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(27,11) = HCF(38,27) = HCF(179,38) = HCF(217,179) = HCF(396,217) = HCF(613,396) = HCF(3461,613) .

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Frequently Asked Questions on HCF of 613, 3461 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 613, 3461?

Answer: HCF of 613, 3461 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 613, 3461 using Euclid's Algorithm?

Answer: For arbitrary numbers 613, 3461 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.