Highest Common Factor of 9643, 3255 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 9643, 3255 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9643, 3255 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 9643, 3255 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 9643, 3255 is 1.

HCF(9643, 3255) = 1

HCF of 9643, 3255 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 9643, 3255 is 1.

Highest Common Factor of 9643,3255 using Euclid's algorithm

Highest Common Factor of 9643,3255 is 1

Step 1: Since 9643 > 3255, we apply the division lemma to 9643 and 3255, to get

9643 = 3255 x 2 + 3133

Step 2: Since the reminder 3255 ≠ 0, we apply division lemma to 3133 and 3255, to get

3255 = 3133 x 1 + 122

Step 3: We consider the new divisor 3133 and the new remainder 122, and apply the division lemma to get

3133 = 122 x 25 + 83

We consider the new divisor 122 and the new remainder 83,and apply the division lemma to get

122 = 83 x 1 + 39

We consider the new divisor 83 and the new remainder 39,and apply the division lemma to get

83 = 39 x 2 + 5

We consider the new divisor 39 and the new remainder 5,and apply the division lemma to get

39 = 5 x 7 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9643 and 3255 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(39,5) = HCF(83,39) = HCF(122,83) = HCF(3133,122) = HCF(3255,3133) = HCF(9643,3255) .

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Frequently Asked Questions on HCF of 9643, 3255 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 9643, 3255?

Answer: HCF of 9643, 3255 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9643, 3255 using Euclid's Algorithm?

Answer: For arbitrary numbers 9643, 3255 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.