Highest Common Factor of 531, 961, 75 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 531, 961, 75 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 531, 961, 75 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 531, 961, 75 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 531, 961, 75 is 1.

HCF(531, 961, 75) = 1

HCF of 531, 961, 75 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 531, 961, 75 is 1.

Highest Common Factor of 531,961,75 using Euclid's algorithm

Highest Common Factor of 531,961,75 is 1

Step 1: Since 961 > 531, we apply the division lemma to 961 and 531, to get

961 = 531 x 1 + 430

Step 2: Since the reminder 531 ≠ 0, we apply division lemma to 430 and 531, to get

531 = 430 x 1 + 101

Step 3: We consider the new divisor 430 and the new remainder 101, and apply the division lemma to get

430 = 101 x 4 + 26

We consider the new divisor 101 and the new remainder 26,and apply the division lemma to get

101 = 26 x 3 + 23

We consider the new divisor 26 and the new remainder 23,and apply the division lemma to get

26 = 23 x 1 + 3

We consider the new divisor 23 and the new remainder 3,and apply the division lemma to get

23 = 3 x 7 + 2

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

3 = 2 x 1 + 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 531 and 961 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(23,3) = HCF(26,23) = HCF(101,26) = HCF(430,101) = HCF(531,430) = HCF(961,531) .

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

Step 1: Since 75 > 1, we apply the division lemma to 75 and 1, to get

75 = 1 x 75 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 75 is 1

Notice that 1 = HCF(75,1) .

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Frequently Asked Questions on HCF of 531, 961, 75 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 531, 961, 75?

Answer: HCF of 531, 961, 75 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 531, 961, 75 using Euclid's Algorithm?

Answer: For arbitrary numbers 531, 961, 75 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.