Highest Common Factor of 5753, 8693 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 5753, 8693 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5753, 8693 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 5753, 8693 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 5753, 8693 is 1.

HCF(5753, 8693) = 1

HCF of 5753, 8693 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 5753, 8693 is 1.

Highest Common Factor of 5753,8693 using Euclid's algorithm

Highest Common Factor of 5753,8693 is 1

Step 1: Since 8693 > 5753, we apply the division lemma to 8693 and 5753, to get

8693 = 5753 x 1 + 2940

Step 2: Since the reminder 5753 ≠ 0, we apply division lemma to 2940 and 5753, to get

5753 = 2940 x 1 + 2813

Step 3: We consider the new divisor 2940 and the new remainder 2813, and apply the division lemma to get

2940 = 2813 x 1 + 127

We consider the new divisor 2813 and the new remainder 127,and apply the division lemma to get

2813 = 127 x 22 + 19

We consider the new divisor 127 and the new remainder 19,and apply the division lemma to get

127 = 19 x 6 + 13

We consider the new divisor 19 and the new remainder 13,and apply the division lemma to get

19 = 13 x 1 + 6

We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get

13 = 6 x 2 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5753 and 8693 is 1

Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(19,13) = HCF(127,19) = HCF(2813,127) = HCF(2940,2813) = HCF(5753,2940) = HCF(8693,5753) .

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Frequently Asked Questions on HCF of 5753, 8693 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 5753, 8693?

Answer: HCF of 5753, 8693 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5753, 8693 using Euclid's Algorithm?

Answer: For arbitrary numbers 5753, 8693 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.