Highest Common Factor of 5899, 8286 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 5899, 8286 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5899, 8286 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 5899, 8286 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 5899, 8286 is 1.

HCF(5899, 8286) = 1

HCF of 5899, 8286 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 5899, 8286 is 1.

Highest Common Factor of 5899,8286 using Euclid's algorithm

Highest Common Factor of 5899,8286 is 1

Step 1: Since 8286 > 5899, we apply the division lemma to 8286 and 5899, to get

8286 = 5899 x 1 + 2387

Step 2: Since the reminder 5899 ≠ 0, we apply division lemma to 2387 and 5899, to get

5899 = 2387 x 2 + 1125

Step 3: We consider the new divisor 2387 and the new remainder 1125, and apply the division lemma to get

2387 = 1125 x 2 + 137

We consider the new divisor 1125 and the new remainder 137,and apply the division lemma to get

1125 = 137 x 8 + 29

We consider the new divisor 137 and the new remainder 29,and apply the division lemma to get

137 = 29 x 4 + 21

We consider the new divisor 29 and the new remainder 21,and apply the division lemma to get

29 = 21 x 1 + 8

We consider the new divisor 21 and the new remainder 8,and apply the division lemma to get

21 = 8 x 2 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 5899 and 8286 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(21,8) = HCF(29,21) = HCF(137,29) = HCF(1125,137) = HCF(2387,1125) = HCF(5899,2387) = HCF(8286,5899) .

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Frequently Asked Questions on HCF of 5899, 8286 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 5899, 8286?

Answer: HCF of 5899, 8286 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5899, 8286 using Euclid's Algorithm?

Answer: For arbitrary numbers 5899, 8286 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.