Highest Common Factor of 5903, 9989 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 5903, 9989 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5903, 9989 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 5903, 9989 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 5903, 9989 is 1.

HCF(5903, 9989) = 1

HCF of 5903, 9989 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 5903, 9989 is 1.

Highest Common Factor of 5903,9989 using Euclid's algorithm

Highest Common Factor of 5903,9989 is 1

Step 1: Since 9989 > 5903, we apply the division lemma to 9989 and 5903, to get

9989 = 5903 x 1 + 4086

Step 2: Since the reminder 5903 ≠ 0, we apply division lemma to 4086 and 5903, to get

5903 = 4086 x 1 + 1817

Step 3: We consider the new divisor 4086 and the new remainder 1817, and apply the division lemma to get

4086 = 1817 x 2 + 452

We consider the new divisor 1817 and the new remainder 452,and apply the division lemma to get

1817 = 452 x 4 + 9

We consider the new divisor 452 and the new remainder 9,and apply the division lemma to get

452 = 9 x 50 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 5903 and 9989 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(452,9) = HCF(1817,452) = HCF(4086,1817) = HCF(5903,4086) = HCF(9989,5903) .

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Frequently Asked Questions on HCF of 5903, 9989 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 5903, 9989?

Answer: HCF of 5903, 9989 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5903, 9989 using Euclid's Algorithm?

Answer: For arbitrary numbers 5903, 9989 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.