Highest Common Factor of 6403, 4739 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 6403, 4739 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6403, 4739 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 6403, 4739 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 6403, 4739 is 1.

HCF(6403, 4739) = 1

HCF of 6403, 4739 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 6403, 4739 is 1.

Highest Common Factor of 6403,4739 using Euclid's algorithm

Highest Common Factor of 6403,4739 is 1

Step 1: Since 6403 > 4739, we apply the division lemma to 6403 and 4739, to get

6403 = 4739 x 1 + 1664

Step 2: Since the reminder 4739 ≠ 0, we apply division lemma to 1664 and 4739, to get

4739 = 1664 x 2 + 1411

Step 3: We consider the new divisor 1664 and the new remainder 1411, and apply the division lemma to get

1664 = 1411 x 1 + 253

We consider the new divisor 1411 and the new remainder 253,and apply the division lemma to get

1411 = 253 x 5 + 146

We consider the new divisor 253 and the new remainder 146,and apply the division lemma to get

253 = 146 x 1 + 107

We consider the new divisor 146 and the new remainder 107,and apply the division lemma to get

146 = 107 x 1 + 39

We consider the new divisor 107 and the new remainder 39,and apply the division lemma to get

107 = 39 x 2 + 29

We consider the new divisor 39 and the new remainder 29,and apply the division lemma to get

39 = 29 x 1 + 10

We consider the new divisor 29 and the new remainder 10,and apply the division lemma to get

29 = 10 x 2 + 9

We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get

10 = 9 x 1 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6403 and 4739 is 1

Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(29,10) = HCF(39,29) = HCF(107,39) = HCF(146,107) = HCF(253,146) = HCF(1411,253) = HCF(1664,1411) = HCF(4739,1664) = HCF(6403,4739) .

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Frequently Asked Questions on HCF of 6403, 4739 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 6403, 4739?

Answer: HCF of 6403, 4739 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6403, 4739 using Euclid's Algorithm?

Answer: For arbitrary numbers 6403, 4739 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.