Highest Common Factor of 472, 2761 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 472, 2761 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 472, 2761 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 472, 2761 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 472, 2761 is 1.

HCF(472, 2761) = 1

HCF of 472, 2761 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 472, 2761 is 1.

Highest Common Factor of 472,2761 using Euclid's algorithm

Highest Common Factor of 472,2761 is 1

Step 1: Since 2761 > 472, we apply the division lemma to 2761 and 472, to get

2761 = 472 x 5 + 401

Step 2: Since the reminder 472 ≠ 0, we apply division lemma to 401 and 472, to get

472 = 401 x 1 + 71

Step 3: We consider the new divisor 401 and the new remainder 71, and apply the division lemma to get

401 = 71 x 5 + 46

We consider the new divisor 71 and the new remainder 46,and apply the division lemma to get

71 = 46 x 1 + 25

We consider the new divisor 46 and the new remainder 25,and apply the division lemma to get

46 = 25 x 1 + 21

We consider the new divisor 25 and the new remainder 21,and apply the division lemma to get

25 = 21 x 1 + 4

We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get

21 = 4 x 5 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 472 and 2761 is 1

Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(25,21) = HCF(46,25) = HCF(71,46) = HCF(401,71) = HCF(472,401) = HCF(2761,472) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 472, 2761 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 472, 2761?

Answer: HCF of 472, 2761 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 472, 2761 using Euclid's Algorithm?

Answer: For arbitrary numbers 472, 2761 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.