Highest Common Factor of 8011, 4225 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 8011, 4225 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8011, 4225 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 8011, 4225 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 8011, 4225 is 1.

HCF(8011, 4225) = 1

HCF of 8011, 4225 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 8011, 4225 is 1.

Highest Common Factor of 8011,4225 using Euclid's algorithm

Highest Common Factor of 8011,4225 is 1

Step 1: Since 8011 > 4225, we apply the division lemma to 8011 and 4225, to get

8011 = 4225 x 1 + 3786

Step 2: Since the reminder 4225 ≠ 0, we apply division lemma to 3786 and 4225, to get

4225 = 3786 x 1 + 439

Step 3: We consider the new divisor 3786 and the new remainder 439, and apply the division lemma to get

3786 = 439 x 8 + 274

We consider the new divisor 439 and the new remainder 274,and apply the division lemma to get

439 = 274 x 1 + 165

We consider the new divisor 274 and the new remainder 165,and apply the division lemma to get

274 = 165 x 1 + 109

We consider the new divisor 165 and the new remainder 109,and apply the division lemma to get

165 = 109 x 1 + 56

We consider the new divisor 109 and the new remainder 56,and apply the division lemma to get

109 = 56 x 1 + 53

We consider the new divisor 56 and the new remainder 53,and apply the division lemma to get

56 = 53 x 1 + 3

We consider the new divisor 53 and the new remainder 3,and apply the division lemma to get

53 = 3 x 17 + 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 8011 and 4225 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(53,3) = HCF(56,53) = HCF(109,56) = HCF(165,109) = HCF(274,165) = HCF(439,274) = HCF(3786,439) = HCF(4225,3786) = HCF(8011,4225) .

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Frequently Asked Questions on HCF of 8011, 4225 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 8011, 4225?

Answer: HCF of 8011, 4225 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8011, 4225 using Euclid's Algorithm?

Answer: For arbitrary numbers 8011, 4225 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.