Highest Common Factor of 992, 589, 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 992, 589, 531 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 992, 589, 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 992, 589, 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 992, 589, 531 is 1.

HCF(992, 589, 531) = 1

HCF of 992, 589, 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 992, 589, 531 is 1.

Highest Common Factor of 992,589,531 using Euclid's algorithm

Highest Common Factor of 992,589,531 is 1

Step 1: Since 992 > 589, we apply the division lemma to 992 and 589, to get

992 = 589 x 1 + 403

Step 2: Since the reminder 589 ≠ 0, we apply division lemma to 403 and 589, to get

589 = 403 x 1 + 186

Step 3: We consider the new divisor 403 and the new remainder 186, and apply the division lemma to get

403 = 186 x 2 + 31

We consider the new divisor 186 and the new remainder 31, and apply the division lemma to get

186 = 31 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 31, the HCF of 992 and 589 is 31

Notice that 31 = HCF(186,31) = HCF(403,186) = HCF(589,403) = HCF(992,589) .

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

Step 1: Since 531 > 31, we apply the division lemma to 531 and 31, to get

531 = 31 x 17 + 4

Step 2: Since the reminder 31 ≠ 0, we apply division lemma to 4 and 31, to get

31 = 4 x 7 + 3

Step 3: We consider the new divisor 4 and the new remainder 3, and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 31 and 531 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(31,4) = HCF(531,31) .

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Frequently Asked Questions on HCF of 992, 589, 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 992, 589, 531?

Answer: HCF of 992, 589, 531 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 992, 589, 531 using Euclid's Algorithm?

Answer: For arbitrary numbers 992, 589, 531 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.