Highest Common Factor of 8946, 5027 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 8946, 5027 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8946, 5027 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 8946, 5027 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 8946, 5027 is 1.

HCF(8946, 5027) = 1

HCF of 8946, 5027 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 8946, 5027 is 1.

Highest Common Factor of 8946,5027 using Euclid's algorithm

Highest Common Factor of 8946,5027 is 1

Step 1: Since 8946 > 5027, we apply the division lemma to 8946 and 5027, to get

8946 = 5027 x 1 + 3919

Step 2: Since the reminder 5027 ≠ 0, we apply division lemma to 3919 and 5027, to get

5027 = 3919 x 1 + 1108

Step 3: We consider the new divisor 3919 and the new remainder 1108, and apply the division lemma to get

3919 = 1108 x 3 + 595

We consider the new divisor 1108 and the new remainder 595,and apply the division lemma to get

1108 = 595 x 1 + 513

We consider the new divisor 595 and the new remainder 513,and apply the division lemma to get

595 = 513 x 1 + 82

We consider the new divisor 513 and the new remainder 82,and apply the division lemma to get

513 = 82 x 6 + 21

We consider the new divisor 82 and the new remainder 21,and apply the division lemma to get

82 = 21 x 3 + 19

We consider the new divisor 21 and the new remainder 19,and apply the division lemma to get

21 = 19 x 1 + 2

We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get

19 = 2 x 9 + 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 8946 and 5027 is 1

Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(21,19) = HCF(82,21) = HCF(513,82) = HCF(595,513) = HCF(1108,595) = HCF(3919,1108) = HCF(5027,3919) = HCF(8946,5027) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 8946, 5027 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 8946, 5027?

Answer: HCF of 8946, 5027 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8946, 5027 using Euclid's Algorithm?

Answer: For arbitrary numbers 8946, 5027 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.