Highest Common Factor of 4839, 6401 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 4839, 6401 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4839, 6401 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 4839, 6401 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 4839, 6401 is 1.

HCF(4839, 6401) = 1

HCF of 4839, 6401 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 4839, 6401 is 1.

Highest Common Factor of 4839,6401 using Euclid's algorithm

Highest Common Factor of 4839,6401 is 1

Step 1: Since 6401 > 4839, we apply the division lemma to 6401 and 4839, to get

6401 = 4839 x 1 + 1562

Step 2: Since the reminder 4839 ≠ 0, we apply division lemma to 1562 and 4839, to get

4839 = 1562 x 3 + 153

Step 3: We consider the new divisor 1562 and the new remainder 153, and apply the division lemma to get

1562 = 153 x 10 + 32

We consider the new divisor 153 and the new remainder 32,and apply the division lemma to get

153 = 32 x 4 + 25

We consider the new divisor 32 and the new remainder 25,and apply the division lemma to get

32 = 25 x 1 + 7

We consider the new divisor 25 and the new remainder 7,and apply the division lemma to get

25 = 7 x 3 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4839 and 6401 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(25,7) = HCF(32,25) = HCF(153,32) = HCF(1562,153) = HCF(4839,1562) = HCF(6401,4839) .

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Frequently Asked Questions on HCF of 4839, 6401 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 4839, 6401?

Answer: HCF of 4839, 6401 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4839, 6401 using Euclid's Algorithm?

Answer: For arbitrary numbers 4839, 6401 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.