Highest Common Factor of 5717, 9437 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 5717, 9437 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5717, 9437 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 5717, 9437 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 5717, 9437 is 1.

HCF(5717, 9437) = 1

HCF of 5717, 9437 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 5717, 9437 is 1.

Highest Common Factor of 5717,9437 using Euclid's algorithm

Highest Common Factor of 5717,9437 is 1

Step 1: Since 9437 > 5717, we apply the division lemma to 9437 and 5717, to get

9437 = 5717 x 1 + 3720

Step 2: Since the reminder 5717 ≠ 0, we apply division lemma to 3720 and 5717, to get

5717 = 3720 x 1 + 1997

Step 3: We consider the new divisor 3720 and the new remainder 1997, and apply the division lemma to get

3720 = 1997 x 1 + 1723

We consider the new divisor 1997 and the new remainder 1723,and apply the division lemma to get

1997 = 1723 x 1 + 274

We consider the new divisor 1723 and the new remainder 274,and apply the division lemma to get

1723 = 274 x 6 + 79

We consider the new divisor 274 and the new remainder 79,and apply the division lemma to get

274 = 79 x 3 + 37

We consider the new divisor 79 and the new remainder 37,and apply the division lemma to get

79 = 37 x 2 + 5

We consider the new divisor 37 and the new remainder 5,and apply the division lemma to get

37 = 5 x 7 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 5717 and 9437 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(37,5) = HCF(79,37) = HCF(274,79) = HCF(1723,274) = HCF(1997,1723) = HCF(3720,1997) = HCF(5717,3720) = HCF(9437,5717) .

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Frequently Asked Questions on HCF of 5717, 9437 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 5717, 9437?

Answer: HCF of 5717, 9437 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5717, 9437 using Euclid's Algorithm?

Answer: For arbitrary numbers 5717, 9437 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.