Highest Common Factor of 7291, 4264 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 7291, 4264 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7291, 4264 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 7291, 4264 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 7291, 4264 is 1.

HCF(7291, 4264) = 1

HCF of 7291, 4264 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 7291, 4264 is 1.

Highest Common Factor of 7291,4264 using Euclid's algorithm

Highest Common Factor of 7291,4264 is 1

Step 1: Since 7291 > 4264, we apply the division lemma to 7291 and 4264, to get

7291 = 4264 x 1 + 3027

Step 2: Since the reminder 4264 ≠ 0, we apply division lemma to 3027 and 4264, to get

4264 = 3027 x 1 + 1237

Step 3: We consider the new divisor 3027 and the new remainder 1237, and apply the division lemma to get

3027 = 1237 x 2 + 553

We consider the new divisor 1237 and the new remainder 553,and apply the division lemma to get

1237 = 553 x 2 + 131

We consider the new divisor 553 and the new remainder 131,and apply the division lemma to get

553 = 131 x 4 + 29

We consider the new divisor 131 and the new remainder 29,and apply the division lemma to get

131 = 29 x 4 + 15

We consider the new divisor 29 and the new remainder 15,and apply the division lemma to get

29 = 15 x 1 + 14

We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get

15 = 14 x 1 + 1

We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get

14 = 1 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7291 and 4264 is 1

Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(29,15) = HCF(131,29) = HCF(553,131) = HCF(1237,553) = HCF(3027,1237) = HCF(4264,3027) = HCF(7291,4264) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 7291, 4264 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 7291, 4264?

Answer: HCF of 7291, 4264 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7291, 4264 using Euclid's Algorithm?

Answer: For arbitrary numbers 7291, 4264 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.