Highest Common Factor of 6327, 6438, 73228 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 6327, 6438, 73228 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6327, 6438, 73228 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 6327, 6438, 73228 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 6327, 6438, 73228 is 1.

HCF(6327, 6438, 73228) = 1

HCF of 6327, 6438, 73228 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 6327, 6438, 73228 is 1.

Highest Common Factor of 6327,6438,73228 using Euclid's algorithm

Highest Common Factor of 6327,6438,73228 is 1

Step 1: Since 6438 > 6327, we apply the division lemma to 6438 and 6327, to get

6438 = 6327 x 1 + 111

Step 2: Since the reminder 6327 ≠ 0, we apply division lemma to 111 and 6327, to get

6327 = 111 x 57 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 111, the HCF of 6327 and 6438 is 111

Notice that 111 = HCF(6327,111) = HCF(6438,6327) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 73228 > 111, we apply the division lemma to 73228 and 111, to get

73228 = 111 x 659 + 79

Step 2: Since the reminder 111 ≠ 0, we apply division lemma to 79 and 111, to get

111 = 79 x 1 + 32

Step 3: We consider the new divisor 79 and the new remainder 32, and apply the division lemma to get

79 = 32 x 2 + 15

We consider the new divisor 32 and the new remainder 15,and apply the division lemma to get

32 = 15 x 2 + 2

We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get

15 = 2 x 7 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 111 and 73228 is 1

Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(32,15) = HCF(79,32) = HCF(111,79) = HCF(73228,111) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 6327, 6438, 73228 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 6327, 6438, 73228?

Answer: HCF of 6327, 6438, 73228 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6327, 6438, 73228 using Euclid's Algorithm?

Answer: For arbitrary numbers 6327, 6438, 73228 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.