Highest Common Factor of 987, 596 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 987, 596 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 987, 596 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 987, 596 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 987, 596 is 1.

HCF(987, 596) = 1

HCF of 987, 596 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 987, 596 is 1.

Highest Common Factor of 987,596 using Euclid's algorithm

Highest Common Factor of 987,596 is 1

Step 1: Since 987 > 596, we apply the division lemma to 987 and 596, to get

987 = 596 x 1 + 391

Step 2: Since the reminder 596 ≠ 0, we apply division lemma to 391 and 596, to get

596 = 391 x 1 + 205

Step 3: We consider the new divisor 391 and the new remainder 205, and apply the division lemma to get

391 = 205 x 1 + 186

We consider the new divisor 205 and the new remainder 186,and apply the division lemma to get

205 = 186 x 1 + 19

We consider the new divisor 186 and the new remainder 19,and apply the division lemma to get

186 = 19 x 9 + 15

We consider the new divisor 19 and the new remainder 15,and apply the division lemma to get

19 = 15 x 1 + 4

We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get

15 = 4 x 3 + 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 987 and 596 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(19,15) = HCF(186,19) = HCF(205,186) = HCF(391,205) = HCF(596,391) = HCF(987,596) .

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Frequently Asked Questions on HCF of 987, 596 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 987, 596?

Answer: HCF of 987, 596 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 987, 596 using Euclid's Algorithm?

Answer: For arbitrary numbers 987, 596 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.