Highest Common Factor of 481, 315, 653 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 481, 315, 653 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 481, 315, 653 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 481, 315, 653 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 481, 315, 653 is 1.

HCF(481, 315, 653) = 1

HCF of 481, 315, 653 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 481, 315, 653 is 1.

Highest Common Factor of 481,315,653 using Euclid's algorithm

Highest Common Factor of 481,315,653 is 1

Step 1: Since 481 > 315, we apply the division lemma to 481 and 315, to get

481 = 315 x 1 + 166

Step 2: Since the reminder 315 ≠ 0, we apply division lemma to 166 and 315, to get

315 = 166 x 1 + 149

Step 3: We consider the new divisor 166 and the new remainder 149, and apply the division lemma to get

166 = 149 x 1 + 17

We consider the new divisor 149 and the new remainder 17,and apply the division lemma to get

149 = 17 x 8 + 13

We consider the new divisor 17 and the new remainder 13,and apply the division lemma to get

17 = 13 x 1 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 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 481 and 315 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(149,17) = HCF(166,149) = HCF(315,166) = HCF(481,315) .

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

Step 1: Since 653 > 1, we apply the division lemma to 653 and 1, to get

653 = 1 x 653 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 653 is 1

Notice that 1 = HCF(653,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 481, 315, 653 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 481, 315, 653?

Answer: HCF of 481, 315, 653 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 481, 315, 653 using Euclid's Algorithm?

Answer: For arbitrary numbers 481, 315, 653 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.