Highest Common Factor of 530, 721, 680 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 530, 721, 680 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 530, 721, 680 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 530, 721, 680 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 530, 721, 680 is 1.

HCF(530, 721, 680) = 1

HCF of 530, 721, 680 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 530, 721, 680 is 1.

Highest Common Factor of 530,721,680 using Euclid's algorithm

Highest Common Factor of 530,721,680 is 1

Step 1: Since 721 > 530, we apply the division lemma to 721 and 530, to get

721 = 530 x 1 + 191

Step 2: Since the reminder 530 ≠ 0, we apply division lemma to 191 and 530, to get

530 = 191 x 2 + 148

Step 3: We consider the new divisor 191 and the new remainder 148, and apply the division lemma to get

191 = 148 x 1 + 43

We consider the new divisor 148 and the new remainder 43,and apply the division lemma to get

148 = 43 x 3 + 19

We consider the new divisor 43 and the new remainder 19,and apply the division lemma to get

43 = 19 x 2 + 5

We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get

19 = 5 x 3 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 530 and 721 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(43,19) = HCF(148,43) = HCF(191,148) = HCF(530,191) = HCF(721,530) .

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

Step 1: Since 680 > 1, we apply the division lemma to 680 and 1, to get

680 = 1 x 680 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 680 is 1

Notice that 1 = HCF(680,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 530, 721, 680 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 530, 721, 680?

Answer: HCF of 530, 721, 680 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 530, 721, 680 using Euclid's Algorithm?

Answer: For arbitrary numbers 530, 721, 680 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.