Highest Common Factor of 5757, 3607 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 5757, 3607 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5757, 3607 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 5757, 3607 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 5757, 3607 is 1.

HCF(5757, 3607) = 1

HCF of 5757, 3607 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 5757, 3607 is 1.

Highest Common Factor of 5757,3607 using Euclid's algorithm

Highest Common Factor of 5757,3607 is 1

Step 1: Since 5757 > 3607, we apply the division lemma to 5757 and 3607, to get

5757 = 3607 x 1 + 2150

Step 2: Since the reminder 3607 ≠ 0, we apply division lemma to 2150 and 3607, to get

3607 = 2150 x 1 + 1457

Step 3: We consider the new divisor 2150 and the new remainder 1457, and apply the division lemma to get

2150 = 1457 x 1 + 693

We consider the new divisor 1457 and the new remainder 693,and apply the division lemma to get

1457 = 693 x 2 + 71

We consider the new divisor 693 and the new remainder 71,and apply the division lemma to get

693 = 71 x 9 + 54

We consider the new divisor 71 and the new remainder 54,and apply the division lemma to get

71 = 54 x 1 + 17

We consider the new divisor 54 and the new remainder 17,and apply the division lemma to get

54 = 17 x 3 + 3

We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get

17 = 3 x 5 + 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 5757 and 3607 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(54,17) = HCF(71,54) = HCF(693,71) = HCF(1457,693) = HCF(2150,1457) = HCF(3607,2150) = HCF(5757,3607) .

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Frequently Asked Questions on HCF of 5757, 3607 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 5757, 3607?

Answer: HCF of 5757, 3607 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5757, 3607 using Euclid's Algorithm?

Answer: For arbitrary numbers 5757, 3607 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.