Highest Common Factor of 8159, 5758 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 8159, 5758 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8159, 5758 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 8159, 5758 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 8159, 5758 is 1.

HCF(8159, 5758) = 1

HCF of 8159, 5758 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 8159, 5758 is 1.

Highest Common Factor of 8159,5758 using Euclid's algorithm

Highest Common Factor of 8159,5758 is 1

Step 1: Since 8159 > 5758, we apply the division lemma to 8159 and 5758, to get

8159 = 5758 x 1 + 2401

Step 2: Since the reminder 5758 ≠ 0, we apply division lemma to 2401 and 5758, to get

5758 = 2401 x 2 + 956

Step 3: We consider the new divisor 2401 and the new remainder 956, and apply the division lemma to get

2401 = 956 x 2 + 489

We consider the new divisor 956 and the new remainder 489,and apply the division lemma to get

956 = 489 x 1 + 467

We consider the new divisor 489 and the new remainder 467,and apply the division lemma to get

489 = 467 x 1 + 22

We consider the new divisor 467 and the new remainder 22,and apply the division lemma to get

467 = 22 x 21 + 5

We consider the new divisor 22 and the new remainder 5,and apply the division lemma to get

22 = 5 x 4 + 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 8159 and 5758 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(22,5) = HCF(467,22) = HCF(489,467) = HCF(956,489) = HCF(2401,956) = HCF(5758,2401) = HCF(8159,5758) .

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Frequently Asked Questions on HCF of 8159, 5758 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 8159, 5758?

Answer: HCF of 8159, 5758 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8159, 5758 using Euclid's Algorithm?

Answer: For arbitrary numbers 8159, 5758 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.