Highest Common Factor of 5023, 3609 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 5023, 3609 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5023, 3609 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 5023, 3609 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 5023, 3609 is 1.

HCF(5023, 3609) = 1

HCF of 5023, 3609 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 5023, 3609 is 1.

Highest Common Factor of 5023,3609 using Euclid's algorithm

Highest Common Factor of 5023,3609 is 1

Step 1: Since 5023 > 3609, we apply the division lemma to 5023 and 3609, to get

5023 = 3609 x 1 + 1414

Step 2: Since the reminder 3609 ≠ 0, we apply division lemma to 1414 and 3609, to get

3609 = 1414 x 2 + 781

Step 3: We consider the new divisor 1414 and the new remainder 781, and apply the division lemma to get

1414 = 781 x 1 + 633

We consider the new divisor 781 and the new remainder 633,and apply the division lemma to get

781 = 633 x 1 + 148

We consider the new divisor 633 and the new remainder 148,and apply the division lemma to get

633 = 148 x 4 + 41

We consider the new divisor 148 and the new remainder 41,and apply the division lemma to get

148 = 41 x 3 + 25

We consider the new divisor 41 and the new remainder 25,and apply the division lemma to get

41 = 25 x 1 + 16

We consider the new divisor 25 and the new remainder 16,and apply the division lemma to get

25 = 16 x 1 + 9

We consider the new divisor 16 and the new remainder 9,and apply the division lemma to get

16 = 9 x 1 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 5023 and 3609 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(16,9) = HCF(25,16) = HCF(41,25) = HCF(148,41) = HCF(633,148) = HCF(781,633) = HCF(1414,781) = HCF(3609,1414) = HCF(5023,3609) .

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Frequently Asked Questions on HCF of 5023, 3609 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 5023, 3609?

Answer: HCF of 5023, 3609 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5023, 3609 using Euclid's Algorithm?

Answer: For arbitrary numbers 5023, 3609 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.