Highest Common Factor of 2477, 3813 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 2477, 3813 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2477, 3813 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 2477, 3813 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 2477, 3813 is 1.

HCF(2477, 3813) = 1

HCF of 2477, 3813 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 2477, 3813 is 1.

Highest Common Factor of 2477,3813 using Euclid's algorithm

Highest Common Factor of 2477,3813 is 1

Step 1: Since 3813 > 2477, we apply the division lemma to 3813 and 2477, to get

3813 = 2477 x 1 + 1336

Step 2: Since the reminder 2477 ≠ 0, we apply division lemma to 1336 and 2477, to get

2477 = 1336 x 1 + 1141

Step 3: We consider the new divisor 1336 and the new remainder 1141, and apply the division lemma to get

1336 = 1141 x 1 + 195

We consider the new divisor 1141 and the new remainder 195,and apply the division lemma to get

1141 = 195 x 5 + 166

We consider the new divisor 195 and the new remainder 166,and apply the division lemma to get

195 = 166 x 1 + 29

We consider the new divisor 166 and the new remainder 29,and apply the division lemma to get

166 = 29 x 5 + 21

We consider the new divisor 29 and the new remainder 21,and apply the division lemma to get

29 = 21 x 1 + 8

We consider the new divisor 21 and the new remainder 8,and apply the division lemma to get

21 = 8 x 2 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 2477 and 3813 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(21,8) = HCF(29,21) = HCF(166,29) = HCF(195,166) = HCF(1141,195) = HCF(1336,1141) = HCF(2477,1336) = HCF(3813,2477) .

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Frequently Asked Questions on HCF of 2477, 3813 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 2477, 3813?

Answer: HCF of 2477, 3813 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2477, 3813 using Euclid's Algorithm?

Answer: For arbitrary numbers 2477, 3813 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.