Highest Common Factor of 2618, 3805 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 2618, 3805 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2618, 3805 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 2618, 3805 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 2618, 3805 is 1.

HCF(2618, 3805) = 1

HCF of 2618, 3805 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 2618, 3805 is 1.

Highest Common Factor of 2618,3805 using Euclid's algorithm

Highest Common Factor of 2618,3805 is 1

Step 1: Since 3805 > 2618, we apply the division lemma to 3805 and 2618, to get

3805 = 2618 x 1 + 1187

Step 2: Since the reminder 2618 ≠ 0, we apply division lemma to 1187 and 2618, to get

2618 = 1187 x 2 + 244

Step 3: We consider the new divisor 1187 and the new remainder 244, and apply the division lemma to get

1187 = 244 x 4 + 211

We consider the new divisor 244 and the new remainder 211,and apply the division lemma to get

244 = 211 x 1 + 33

We consider the new divisor 211 and the new remainder 33,and apply the division lemma to get

211 = 33 x 6 + 13

We consider the new divisor 33 and the new remainder 13,and apply the division lemma to get

33 = 13 x 2 + 7

We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get

13 = 7 x 1 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2618 and 3805 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(33,13) = HCF(211,33) = HCF(244,211) = HCF(1187,244) = HCF(2618,1187) = HCF(3805,2618) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 2618, 3805 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 2618, 3805?

Answer: HCF of 2618, 3805 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2618, 3805 using Euclid's Algorithm?

Answer: For arbitrary numbers 2618, 3805 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.