Highest Common Factor of 6304, 7619 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, 7619 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6304, 7619 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 6304, 7619 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, 7619 is 1.

HCF(6304, 7619) = 1

HCF of 6304, 7619 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, 7619 is 1.

Highest Common Factor of 6304,7619 using Euclid's algorithm

Highest Common Factor of 6304,7619 is 1

Step 1: Since 7619 > 6304, we apply the division lemma to 7619 and 6304, to get

7619 = 6304 x 1 + 1315

Step 2: Since the reminder 6304 ≠ 0, we apply division lemma to 1315 and 6304, to get

6304 = 1315 x 4 + 1044

Step 3: We consider the new divisor 1315 and the new remainder 1044, and apply the division lemma to get

1315 = 1044 x 1 + 271

We consider the new divisor 1044 and the new remainder 271,and apply the division lemma to get

1044 = 271 x 3 + 231

We consider the new divisor 271 and the new remainder 231,and apply the division lemma to get

271 = 231 x 1 + 40

We consider the new divisor 231 and the new remainder 40,and apply the division lemma to get

231 = 40 x 5 + 31

We consider the new divisor 40 and the new remainder 31,and apply the division lemma to get

40 = 31 x 1 + 9

We consider the new divisor 31 and the new remainder 9,and apply the division lemma to get

31 = 9 x 3 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6304 and 7619 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(31,9) = HCF(40,31) = HCF(231,40) = HCF(271,231) = HCF(1044,271) = HCF(1315,1044) = HCF(6304,1315) = HCF(7619,6304) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 6304, 7619 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, 7619?

Answer: HCF of 6304, 7619 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6304, 7619 using Euclid's Algorithm?

Answer: For arbitrary numbers 6304, 7619 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.