Highest Common Factor of 952, 168, 531 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 952, 168, 531 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 952, 168, 531 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 952, 168, 531 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 952, 168, 531 is 1.

HCF(952, 168, 531) = 1

HCF of 952, 168, 531 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 952, 168, 531 is 1.

Highest Common Factor of 952,168,531 using Euclid's algorithm

Highest Common Factor of 952,168,531 is 1

Step 1: Since 952 > 168, we apply the division lemma to 952 and 168, to get

952 = 168 x 5 + 112

Step 2: Since the reminder 168 ≠ 0, we apply division lemma to 112 and 168, to get

168 = 112 x 1 + 56

Step 3: We consider the new divisor 112 and the new remainder 56, and apply the division lemma to get

112 = 56 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 56, the HCF of 952 and 168 is 56

Notice that 56 = HCF(112,56) = HCF(168,112) = HCF(952,168) .

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

Step 1: Since 531 > 56, we apply the division lemma to 531 and 56, to get

531 = 56 x 9 + 27

Step 2: Since the reminder 56 ≠ 0, we apply division lemma to 27 and 56, to get

56 = 27 x 2 + 2

Step 3: We consider the new divisor 27 and the new remainder 2, and apply the division lemma to get

27 = 2 x 13 + 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 56 and 531 is 1

Notice that 1 = HCF(2,1) = HCF(27,2) = HCF(56,27) = HCF(531,56) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 952, 168, 531 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 952, 168, 531?

Answer: HCF of 952, 168, 531 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 952, 168, 531 using Euclid's Algorithm?

Answer: For arbitrary numbers 952, 168, 531 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.