Highest Common Factor of 3779, 2618 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 3779, 2618 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3779, 2618 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 3779, 2618 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 3779, 2618 is 1.

HCF(3779, 2618) = 1

HCF of 3779, 2618 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 3779, 2618 is 1.

Highest Common Factor of 3779,2618 using Euclid's algorithm

Highest Common Factor of 3779,2618 is 1

Step 1: Since 3779 > 2618, we apply the division lemma to 3779 and 2618, to get

3779 = 2618 x 1 + 1161

Step 2: Since the reminder 2618 ≠ 0, we apply division lemma to 1161 and 2618, to get

2618 = 1161 x 2 + 296

Step 3: We consider the new divisor 1161 and the new remainder 296, and apply the division lemma to get

1161 = 296 x 3 + 273

We consider the new divisor 296 and the new remainder 273,and apply the division lemma to get

296 = 273 x 1 + 23

We consider the new divisor 273 and the new remainder 23,and apply the division lemma to get

273 = 23 x 11 + 20

We consider the new divisor 23 and the new remainder 20,and apply the division lemma to get

23 = 20 x 1 + 3

We consider the new divisor 20 and the new remainder 3,and apply the division lemma to get

20 = 3 x 6 + 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 3779 and 2618 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(20,3) = HCF(23,20) = HCF(273,23) = HCF(296,273) = HCF(1161,296) = HCF(2618,1161) = HCF(3779,2618) .

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Frequently Asked Questions on HCF of 3779, 2618 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 3779, 2618?

Answer: HCF of 3779, 2618 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3779, 2618 using Euclid's Algorithm?

Answer: For arbitrary numbers 3779, 2618 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.