Highest Common Factor of 9556, 3619 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 9556, 3619 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9556, 3619 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 9556, 3619 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 9556, 3619 is 1.

HCF(9556, 3619) = 1

HCF of 9556, 3619 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 9556, 3619 is 1.

Highest Common Factor of 9556,3619 using Euclid's algorithm

Highest Common Factor of 9556,3619 is 1

Step 1: Since 9556 > 3619, we apply the division lemma to 9556 and 3619, to get

9556 = 3619 x 2 + 2318

Step 2: Since the reminder 3619 ≠ 0, we apply division lemma to 2318 and 3619, to get

3619 = 2318 x 1 + 1301

Step 3: We consider the new divisor 2318 and the new remainder 1301, and apply the division lemma to get

2318 = 1301 x 1 + 1017

We consider the new divisor 1301 and the new remainder 1017,and apply the division lemma to get

1301 = 1017 x 1 + 284

We consider the new divisor 1017 and the new remainder 284,and apply the division lemma to get

1017 = 284 x 3 + 165

We consider the new divisor 284 and the new remainder 165,and apply the division lemma to get

284 = 165 x 1 + 119

We consider the new divisor 165 and the new remainder 119,and apply the division lemma to get

165 = 119 x 1 + 46

We consider the new divisor 119 and the new remainder 46,and apply the division lemma to get

119 = 46 x 2 + 27

We consider the new divisor 46 and the new remainder 27,and apply the division lemma to get

46 = 27 x 1 + 19

We consider the new divisor 27 and the new remainder 19,and apply the division lemma to get

27 = 19 x 1 + 8

We consider the new divisor 19 and the new remainder 8,and apply the division lemma to get

19 = 8 x 2 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 9556 and 3619 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(19,8) = HCF(27,19) = HCF(46,27) = HCF(119,46) = HCF(165,119) = HCF(284,165) = HCF(1017,284) = HCF(1301,1017) = HCF(2318,1301) = HCF(3619,2318) = HCF(9556,3619) .

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Frequently Asked Questions on HCF of 9556, 3619 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 9556, 3619?

Answer: HCF of 9556, 3619 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9556, 3619 using Euclid's Algorithm?

Answer: For arbitrary numbers 9556, 3619 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.