Highest Common Factor of 903, 540, 928 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 903, 540, 928 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 903, 540, 928 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 903, 540, 928 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 903, 540, 928 is 1.

HCF(903, 540, 928) = 1

HCF of 903, 540, 928 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 903, 540, 928 is 1.

Highest Common Factor of 903,540,928 using Euclid's algorithm

Highest Common Factor of 903,540,928 is 1

Step 1: Since 903 > 540, we apply the division lemma to 903 and 540, to get

903 = 540 x 1 + 363

Step 2: Since the reminder 540 ≠ 0, we apply division lemma to 363 and 540, to get

540 = 363 x 1 + 177

Step 3: We consider the new divisor 363 and the new remainder 177, and apply the division lemma to get

363 = 177 x 2 + 9

We consider the new divisor 177 and the new remainder 9,and apply the division lemma to get

177 = 9 x 19 + 6

We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get

9 = 6 x 1 + 3

We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 903 and 540 is 3

Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(177,9) = HCF(363,177) = HCF(540,363) = HCF(903,540) .

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

Step 1: Since 928 > 3, we apply the division lemma to 928 and 3, to get

928 = 3 x 309 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 928 is 1

Notice that 1 = HCF(3,1) = HCF(928,3) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 903, 540, 928 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 903, 540, 928?

Answer: HCF of 903, 540, 928 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 903, 540, 928 using Euclid's Algorithm?

Answer: For arbitrary numbers 903, 540, 928 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.