Highest Common Factor of 8537, 2386 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 8537, 2386 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8537, 2386 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 8537, 2386 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 8537, 2386 is 1.

HCF(8537, 2386) = 1

HCF of 8537, 2386 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 8537, 2386 is 1.

Highest Common Factor of 8537,2386 using Euclid's algorithm

Highest Common Factor of 8537,2386 is 1

Step 1: Since 8537 > 2386, we apply the division lemma to 8537 and 2386, to get

8537 = 2386 x 3 + 1379

Step 2: Since the reminder 2386 ≠ 0, we apply division lemma to 1379 and 2386, to get

2386 = 1379 x 1 + 1007

Step 3: We consider the new divisor 1379 and the new remainder 1007, and apply the division lemma to get

1379 = 1007 x 1 + 372

We consider the new divisor 1007 and the new remainder 372,and apply the division lemma to get

1007 = 372 x 2 + 263

We consider the new divisor 372 and the new remainder 263,and apply the division lemma to get

372 = 263 x 1 + 109

We consider the new divisor 263 and the new remainder 109,and apply the division lemma to get

263 = 109 x 2 + 45

We consider the new divisor 109 and the new remainder 45,and apply the division lemma to get

109 = 45 x 2 + 19

We consider the new divisor 45 and the new remainder 19,and apply the division lemma to get

45 = 19 x 2 + 7

We consider the new divisor 19 and the new remainder 7,and apply the division lemma to get

19 = 7 x 2 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 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 8537 and 2386 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(19,7) = HCF(45,19) = HCF(109,45) = HCF(263,109) = HCF(372,263) = HCF(1007,372) = HCF(1379,1007) = HCF(2386,1379) = HCF(8537,2386) .

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Frequently Asked Questions on HCF of 8537, 2386 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 8537, 2386?

Answer: HCF of 8537, 2386 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8537, 2386 using Euclid's Algorithm?

Answer: For arbitrary numbers 8537, 2386 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.