Highest Common Factor of 659, 8389 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 659, 8389 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 659, 8389 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 659, 8389 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 659, 8389 is 1.

HCF(659, 8389) = 1

HCF of 659, 8389 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 659, 8389 is 1.

Highest Common Factor of 659,8389 using Euclid's algorithm

Highest Common Factor of 659,8389 is 1

Step 1: Since 8389 > 659, we apply the division lemma to 8389 and 659, to get

8389 = 659 x 12 + 481

Step 2: Since the reminder 659 ≠ 0, we apply division lemma to 481 and 659, to get

659 = 481 x 1 + 178

Step 3: We consider the new divisor 481 and the new remainder 178, and apply the division lemma to get

481 = 178 x 2 + 125

We consider the new divisor 178 and the new remainder 125,and apply the division lemma to get

178 = 125 x 1 + 53

We consider the new divisor 125 and the new remainder 53,and apply the division lemma to get

125 = 53 x 2 + 19

We consider the new divisor 53 and the new remainder 19,and apply the division lemma to get

53 = 19 x 2 + 15

We consider the new divisor 19 and the new remainder 15,and apply the division lemma to get

19 = 15 x 1 + 4

We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get

15 = 4 x 3 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 659 and 8389 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(19,15) = HCF(53,19) = HCF(125,53) = HCF(178,125) = HCF(481,178) = HCF(659,481) = HCF(8389,659) .

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Frequently Asked Questions on HCF of 659, 8389 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 659, 8389?

Answer: HCF of 659, 8389 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 659, 8389 using Euclid's Algorithm?

Answer: For arbitrary numbers 659, 8389 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.