Highest Common Factor of 5421, 8455 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 5421, 8455 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5421, 8455 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 5421, 8455 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 5421, 8455 is 1.

HCF(5421, 8455) = 1

HCF of 5421, 8455 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 5421, 8455 is 1.

Highest Common Factor of 5421,8455 using Euclid's algorithm

Highest Common Factor of 5421,8455 is 1

Step 1: Since 8455 > 5421, we apply the division lemma to 8455 and 5421, to get

8455 = 5421 x 1 + 3034

Step 2: Since the reminder 5421 ≠ 0, we apply division lemma to 3034 and 5421, to get

5421 = 3034 x 1 + 2387

Step 3: We consider the new divisor 3034 and the new remainder 2387, and apply the division lemma to get

3034 = 2387 x 1 + 647

We consider the new divisor 2387 and the new remainder 647,and apply the division lemma to get

2387 = 647 x 3 + 446

We consider the new divisor 647 and the new remainder 446,and apply the division lemma to get

647 = 446 x 1 + 201

We consider the new divisor 446 and the new remainder 201,and apply the division lemma to get

446 = 201 x 2 + 44

We consider the new divisor 201 and the new remainder 44,and apply the division lemma to get

201 = 44 x 4 + 25

We consider the new divisor 44 and the new remainder 25,and apply the division lemma to get

44 = 25 x 1 + 19

We consider the new divisor 25 and the new remainder 19,and apply the division lemma to get

25 = 19 x 1 + 6

We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get

19 = 6 x 3 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5421 and 8455 is 1

Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(25,19) = HCF(44,25) = HCF(201,44) = HCF(446,201) = HCF(647,446) = HCF(2387,647) = HCF(3034,2387) = HCF(5421,3034) = HCF(8455,5421) .

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Frequently Asked Questions on HCF of 5421, 8455 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 5421, 8455?

Answer: HCF of 5421, 8455 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5421, 8455 using Euclid's Algorithm?

Answer: For arbitrary numbers 5421, 8455 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.