Highest Common Factor of 6304, 4860 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 6304, 4860 i.e. 4 the largest integer that leaves a remainder zero for all numbers.

HCF of 6304, 4860 is 4 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 6304, 4860 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 6304, 4860 is 4.

HCF(6304, 4860) = 4

HCF of 6304, 4860 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 6304, 4860 is 4.

Highest Common Factor of 6304,4860 using Euclid's algorithm

Highest Common Factor of 6304,4860 is 4

Step 1: Since 6304 > 4860, we apply the division lemma to 6304 and 4860, to get

6304 = 4860 x 1 + 1444

Step 2: Since the reminder 4860 ≠ 0, we apply division lemma to 1444 and 4860, to get

4860 = 1444 x 3 + 528

Step 3: We consider the new divisor 1444 and the new remainder 528, and apply the division lemma to get

1444 = 528 x 2 + 388

We consider the new divisor 528 and the new remainder 388,and apply the division lemma to get

528 = 388 x 1 + 140

We consider the new divisor 388 and the new remainder 140,and apply the division lemma to get

388 = 140 x 2 + 108

We consider the new divisor 140 and the new remainder 108,and apply the division lemma to get

140 = 108 x 1 + 32

We consider the new divisor 108 and the new remainder 32,and apply the division lemma to get

108 = 32 x 3 + 12

We consider the new divisor 32 and the new remainder 12,and apply the division lemma to get

32 = 12 x 2 + 8

We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get

12 = 8 x 1 + 4

We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get

8 = 4 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 6304 and 4860 is 4

Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(32,12) = HCF(108,32) = HCF(140,108) = HCF(388,140) = HCF(528,388) = HCF(1444,528) = HCF(4860,1444) = HCF(6304,4860) .

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Frequently Asked Questions on HCF of 6304, 4860 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 6304, 4860?

Answer: HCF of 6304, 4860 is 4 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6304, 4860 using Euclid's Algorithm?

Answer: For arbitrary numbers 6304, 4860 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.