Highest Common Factor of 9659, 6014 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 9659, 6014 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9659, 6014 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 9659, 6014 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 9659, 6014 is 1.

HCF(9659, 6014) = 1

HCF of 9659, 6014 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 9659, 6014 is 1.

Highest Common Factor of 9659,6014 using Euclid's algorithm

Highest Common Factor of 9659,6014 is 1

Step 1: Since 9659 > 6014, we apply the division lemma to 9659 and 6014, to get

9659 = 6014 x 1 + 3645

Step 2: Since the reminder 6014 ≠ 0, we apply division lemma to 3645 and 6014, to get

6014 = 3645 x 1 + 2369

Step 3: We consider the new divisor 3645 and the new remainder 2369, and apply the division lemma to get

3645 = 2369 x 1 + 1276

We consider the new divisor 2369 and the new remainder 1276,and apply the division lemma to get

2369 = 1276 x 1 + 1093

We consider the new divisor 1276 and the new remainder 1093,and apply the division lemma to get

1276 = 1093 x 1 + 183

We consider the new divisor 1093 and the new remainder 183,and apply the division lemma to get

1093 = 183 x 5 + 178

We consider the new divisor 183 and the new remainder 178,and apply the division lemma to get

183 = 178 x 1 + 5

We consider the new divisor 178 and the new remainder 5,and apply the division lemma to get

178 = 5 x 35 + 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 9659 and 6014 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(178,5) = HCF(183,178) = HCF(1093,183) = HCF(1276,1093) = HCF(2369,1276) = HCF(3645,2369) = HCF(6014,3645) = HCF(9659,6014) .

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Frequently Asked Questions on HCF of 9659, 6014 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 9659, 6014?

Answer: HCF of 9659, 6014 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9659, 6014 using Euclid's Algorithm?

Answer: For arbitrary numbers 9659, 6014 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.