Highest Common Factor of 922, 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 922, 531 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 922, 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 922, 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 922, 531 is 1.

HCF(922, 531) = 1

HCF of 922, 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 922, 531 is 1.

Highest Common Factor of 922,531 using Euclid's algorithm

Highest Common Factor of 922,531 is 1

Step 1: Since 922 > 531, we apply the division lemma to 922 and 531, to get

922 = 531 x 1 + 391

Step 2: Since the reminder 531 ≠ 0, we apply division lemma to 391 and 531, to get

531 = 391 x 1 + 140

Step 3: We consider the new divisor 391 and the new remainder 140, and apply the division lemma to get

391 = 140 x 2 + 111

We consider the new divisor 140 and the new remainder 111,and apply the division lemma to get

140 = 111 x 1 + 29

We consider the new divisor 111 and the new remainder 29,and apply the division lemma to get

111 = 29 x 3 + 24

We consider the new divisor 29 and the new remainder 24,and apply the division lemma to get

29 = 24 x 1 + 5

We consider the new divisor 24 and the new remainder 5,and apply the division lemma to get

24 = 5 x 4 + 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 922 and 531 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(24,5) = HCF(29,24) = HCF(111,29) = HCF(140,111) = HCF(391,140) = HCF(531,391) = HCF(922,531) .

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Frequently Asked Questions on HCF of 922, 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 922, 531?

Answer: HCF of 922, 531 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 922, 531 using Euclid's Algorithm?

Answer: For arbitrary numbers 922, 531 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.