Highest Common Factor of 567, 973, 652 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 567, 973, 652 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 567, 973, 652 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 567, 973, 652 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 567, 973, 652 is 1.

HCF(567, 973, 652) = 1

HCF of 567, 973, 652 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 567, 973, 652 is 1.

Highest Common Factor of 567,973,652 using Euclid's algorithm

Highest Common Factor of 567,973,652 is 1

Step 1: Since 973 > 567, we apply the division lemma to 973 and 567, to get

973 = 567 x 1 + 406

Step 2: Since the reminder 567 ≠ 0, we apply division lemma to 406 and 567, to get

567 = 406 x 1 + 161

Step 3: We consider the new divisor 406 and the new remainder 161, and apply the division lemma to get

406 = 161 x 2 + 84

We consider the new divisor 161 and the new remainder 84,and apply the division lemma to get

161 = 84 x 1 + 77

We consider the new divisor 84 and the new remainder 77,and apply the division lemma to get

84 = 77 x 1 + 7

We consider the new divisor 77 and the new remainder 7,and apply the division lemma to get

77 = 7 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 567 and 973 is 7

Notice that 7 = HCF(77,7) = HCF(84,77) = HCF(161,84) = HCF(406,161) = HCF(567,406) = HCF(973,567) .

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

Step 1: Since 652 > 7, we apply the division lemma to 652 and 7, to get

652 = 7 x 93 + 1

Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 1 and 7, to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7 and 652 is 1

Notice that 1 = HCF(7,1) = HCF(652,7) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 567, 973, 652 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 567, 973, 652?

Answer: HCF of 567, 973, 652 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 567, 973, 652 using Euclid's Algorithm?

Answer: For arbitrary numbers 567, 973, 652 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.