Highest Common Factor of 5739, 9404 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 5739, 9404 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5739, 9404 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 5739, 9404 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 5739, 9404 is 1.

HCF(5739, 9404) = 1

HCF of 5739, 9404 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 5739, 9404 is 1.

Highest Common Factor of 5739,9404 using Euclid's algorithm

Highest Common Factor of 5739,9404 is 1

Step 1: Since 9404 > 5739, we apply the division lemma to 9404 and 5739, to get

9404 = 5739 x 1 + 3665

Step 2: Since the reminder 5739 ≠ 0, we apply division lemma to 3665 and 5739, to get

5739 = 3665 x 1 + 2074

Step 3: We consider the new divisor 3665 and the new remainder 2074, and apply the division lemma to get

3665 = 2074 x 1 + 1591

We consider the new divisor 2074 and the new remainder 1591,and apply the division lemma to get

2074 = 1591 x 1 + 483

We consider the new divisor 1591 and the new remainder 483,and apply the division lemma to get

1591 = 483 x 3 + 142

We consider the new divisor 483 and the new remainder 142,and apply the division lemma to get

483 = 142 x 3 + 57

We consider the new divisor 142 and the new remainder 57,and apply the division lemma to get

142 = 57 x 2 + 28

We consider the new divisor 57 and the new remainder 28,and apply the division lemma to get

57 = 28 x 2 + 1

We consider the new divisor 28 and the new remainder 1,and apply the division lemma to get

28 = 1 x 28 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5739 and 9404 is 1

Notice that 1 = HCF(28,1) = HCF(57,28) = HCF(142,57) = HCF(483,142) = HCF(1591,483) = HCF(2074,1591) = HCF(3665,2074) = HCF(5739,3665) = HCF(9404,5739) .

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Frequently Asked Questions on HCF of 5739, 9404 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 5739, 9404?

Answer: HCF of 5739, 9404 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5739, 9404 using Euclid's Algorithm?

Answer: For arbitrary numbers 5739, 9404 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.