Highest Common Factor of 5136, 8683 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 5136, 8683 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5136, 8683 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 5136, 8683 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 5136, 8683 is 1.

HCF(5136, 8683) = 1

HCF of 5136, 8683 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 5136, 8683 is 1.

Highest Common Factor of 5136,8683 using Euclid's algorithm

Highest Common Factor of 5136,8683 is 1

Step 1: Since 8683 > 5136, we apply the division lemma to 8683 and 5136, to get

8683 = 5136 x 1 + 3547

Step 2: Since the reminder 5136 ≠ 0, we apply division lemma to 3547 and 5136, to get

5136 = 3547 x 1 + 1589

Step 3: We consider the new divisor 3547 and the new remainder 1589, and apply the division lemma to get

3547 = 1589 x 2 + 369

We consider the new divisor 1589 and the new remainder 369,and apply the division lemma to get

1589 = 369 x 4 + 113

We consider the new divisor 369 and the new remainder 113,and apply the division lemma to get

369 = 113 x 3 + 30

We consider the new divisor 113 and the new remainder 30,and apply the division lemma to get

113 = 30 x 3 + 23

We consider the new divisor 30 and the new remainder 23,and apply the division lemma to get

30 = 23 x 1 + 7

We consider the new divisor 23 and the new remainder 7,and apply the division lemma to get

23 = 7 x 3 + 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 5136 and 8683 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(23,7) = HCF(30,23) = HCF(113,30) = HCF(369,113) = HCF(1589,369) = HCF(3547,1589) = HCF(5136,3547) = HCF(8683,5136) .

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Frequently Asked Questions on HCF of 5136, 8683 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 5136, 8683?

Answer: HCF of 5136, 8683 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5136, 8683 using Euclid's Algorithm?

Answer: For arbitrary numbers 5136, 8683 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.