Highest Common Factor of 8859, 5747 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 8859, 5747 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8859, 5747 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 8859, 5747 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 8859, 5747 is 1.

HCF(8859, 5747) = 1

HCF of 8859, 5747 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 8859, 5747 is 1.

Highest Common Factor of 8859,5747 using Euclid's algorithm

Highest Common Factor of 8859,5747 is 1

Step 1: Since 8859 > 5747, we apply the division lemma to 8859 and 5747, to get

8859 = 5747 x 1 + 3112

Step 2: Since the reminder 5747 ≠ 0, we apply division lemma to 3112 and 5747, to get

5747 = 3112 x 1 + 2635

Step 3: We consider the new divisor 3112 and the new remainder 2635, and apply the division lemma to get

3112 = 2635 x 1 + 477

We consider the new divisor 2635 and the new remainder 477,and apply the division lemma to get

2635 = 477 x 5 + 250

We consider the new divisor 477 and the new remainder 250,and apply the division lemma to get

477 = 250 x 1 + 227

We consider the new divisor 250 and the new remainder 227,and apply the division lemma to get

250 = 227 x 1 + 23

We consider the new divisor 227 and the new remainder 23,and apply the division lemma to get

227 = 23 x 9 + 20

We consider the new divisor 23 and the new remainder 20,and apply the division lemma to get

23 = 20 x 1 + 3

We consider the new divisor 20 and the new remainder 3,and apply the division lemma to get

20 = 3 x 6 + 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 8859 and 5747 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(20,3) = HCF(23,20) = HCF(227,23) = HCF(250,227) = HCF(477,250) = HCF(2635,477) = HCF(3112,2635) = HCF(5747,3112) = HCF(8859,5747) .

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Frequently Asked Questions on HCF of 8859, 5747 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 8859, 5747?

Answer: HCF of 8859, 5747 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8859, 5747 using Euclid's Algorithm?

Answer: For arbitrary numbers 8859, 5747 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.