Highest Common Factor of 389, 597 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 389, 597 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 389, 597 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 389, 597 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 389, 597 is 1.

HCF(389, 597) = 1

HCF of 389, 597 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 389, 597 is 1.

Highest Common Factor of 389,597 using Euclid's algorithm

Highest Common Factor of 389,597 is 1

Step 1: Since 597 > 389, we apply the division lemma to 597 and 389, to get

597 = 389 x 1 + 208

Step 2: Since the reminder 389 ≠ 0, we apply division lemma to 208 and 389, to get

389 = 208 x 1 + 181

Step 3: We consider the new divisor 208 and the new remainder 181, and apply the division lemma to get

208 = 181 x 1 + 27

We consider the new divisor 181 and the new remainder 27,and apply the division lemma to get

181 = 27 x 6 + 19

We consider the new divisor 27 and the new remainder 19,and apply the division lemma to get

27 = 19 x 1 + 8

We consider the new divisor 19 and the new remainder 8,and apply the division lemma to get

19 = 8 x 2 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 389 and 597 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(19,8) = HCF(27,19) = HCF(181,27) = HCF(208,181) = HCF(389,208) = HCF(597,389) .

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Frequently Asked Questions on HCF of 389, 597 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 389, 597?

Answer: HCF of 389, 597 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 389, 597 using Euclid's Algorithm?

Answer: For arbitrary numbers 389, 597 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.