Highest Common Factor of 2426, 9067 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 2426, 9067 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2426, 9067 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 2426, 9067 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 2426, 9067 is 1.

HCF(2426, 9067) = 1

HCF of 2426, 9067 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 2426, 9067 is 1.

Highest Common Factor of 2426,9067 using Euclid's algorithm

Highest Common Factor of 2426,9067 is 1

Step 1: Since 9067 > 2426, we apply the division lemma to 9067 and 2426, to get

9067 = 2426 x 3 + 1789

Step 2: Since the reminder 2426 ≠ 0, we apply division lemma to 1789 and 2426, to get

2426 = 1789 x 1 + 637

Step 3: We consider the new divisor 1789 and the new remainder 637, and apply the division lemma to get

1789 = 637 x 2 + 515

We consider the new divisor 637 and the new remainder 515,and apply the division lemma to get

637 = 515 x 1 + 122

We consider the new divisor 515 and the new remainder 122,and apply the division lemma to get

515 = 122 x 4 + 27

We consider the new divisor 122 and the new remainder 27,and apply the division lemma to get

122 = 27 x 4 + 14

We consider the new divisor 27 and the new remainder 14,and apply the division lemma to get

27 = 14 x 1 + 13

We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get

14 = 13 x 1 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2426 and 9067 is 1

Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(27,14) = HCF(122,27) = HCF(515,122) = HCF(637,515) = HCF(1789,637) = HCF(2426,1789) = HCF(9067,2426) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 2426, 9067 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 2426, 9067?

Answer: HCF of 2426, 9067 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2426, 9067 using Euclid's Algorithm?

Answer: For arbitrary numbers 2426, 9067 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.