Highest Common Factor of 4459, 6361 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 4459, 6361 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4459, 6361 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 4459, 6361 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 4459, 6361 is 1.

HCF(4459, 6361) = 1

HCF of 4459, 6361 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 4459, 6361 is 1.

Highest Common Factor of 4459,6361 using Euclid's algorithm

Highest Common Factor of 4459,6361 is 1

Step 1: Since 6361 > 4459, we apply the division lemma to 6361 and 4459, to get

6361 = 4459 x 1 + 1902

Step 2: Since the reminder 4459 ≠ 0, we apply division lemma to 1902 and 4459, to get

4459 = 1902 x 2 + 655

Step 3: We consider the new divisor 1902 and the new remainder 655, and apply the division lemma to get

1902 = 655 x 2 + 592

We consider the new divisor 655 and the new remainder 592,and apply the division lemma to get

655 = 592 x 1 + 63

We consider the new divisor 592 and the new remainder 63,and apply the division lemma to get

592 = 63 x 9 + 25

We consider the new divisor 63 and the new remainder 25,and apply the division lemma to get

63 = 25 x 2 + 13

We consider the new divisor 25 and the new remainder 13,and apply the division lemma to get

25 = 13 x 1 + 12

We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get

13 = 12 x 1 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4459 and 6361 is 1

Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(25,13) = HCF(63,25) = HCF(592,63) = HCF(655,592) = HCF(1902,655) = HCF(4459,1902) = HCF(6361,4459) .

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Frequently Asked Questions on HCF of 4459, 6361 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 4459, 6361?

Answer: HCF of 4459, 6361 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4459, 6361 using Euclid's Algorithm?

Answer: For arbitrary numbers 4459, 6361 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.