Highest Common Factor of 9628, 6067 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 9628, 6067 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9628, 6067 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 9628, 6067 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 9628, 6067 is 1.

HCF(9628, 6067) = 1

HCF of 9628, 6067 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 9628, 6067 is 1.

Highest Common Factor of 9628,6067 using Euclid's algorithm

Highest Common Factor of 9628,6067 is 1

Step 1: Since 9628 > 6067, we apply the division lemma to 9628 and 6067, to get

9628 = 6067 x 1 + 3561

Step 2: Since the reminder 6067 ≠ 0, we apply division lemma to 3561 and 6067, to get

6067 = 3561 x 1 + 2506

Step 3: We consider the new divisor 3561 and the new remainder 2506, and apply the division lemma to get

3561 = 2506 x 1 + 1055

We consider the new divisor 2506 and the new remainder 1055,and apply the division lemma to get

2506 = 1055 x 2 + 396

We consider the new divisor 1055 and the new remainder 396,and apply the division lemma to get

1055 = 396 x 2 + 263

We consider the new divisor 396 and the new remainder 263,and apply the division lemma to get

396 = 263 x 1 + 133

We consider the new divisor 263 and the new remainder 133,and apply the division lemma to get

263 = 133 x 1 + 130

We consider the new divisor 133 and the new remainder 130,and apply the division lemma to get

133 = 130 x 1 + 3

We consider the new divisor 130 and the new remainder 3,and apply the division lemma to get

130 = 3 x 43 + 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 9628 and 6067 is 1

Notice that 1 = HCF(3,1) = HCF(130,3) = HCF(133,130) = HCF(263,133) = HCF(396,263) = HCF(1055,396) = HCF(2506,1055) = HCF(3561,2506) = HCF(6067,3561) = HCF(9628,6067) .

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Frequently Asked Questions on HCF of 9628, 6067 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 9628, 6067?

Answer: HCF of 9628, 6067 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9628, 6067 using Euclid's Algorithm?

Answer: For arbitrary numbers 9628, 6067 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.