Highest Common Factor of 9068, 3851 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 9068, 3851 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9068, 3851 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 9068, 3851 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 9068, 3851 is 1.

HCF(9068, 3851) = 1

HCF of 9068, 3851 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 9068, 3851 is 1.

Highest Common Factor of 9068,3851 using Euclid's algorithm

Highest Common Factor of 9068,3851 is 1

Step 1: Since 9068 > 3851, we apply the division lemma to 9068 and 3851, to get

9068 = 3851 x 2 + 1366

Step 2: Since the reminder 3851 ≠ 0, we apply division lemma to 1366 and 3851, to get

3851 = 1366 x 2 + 1119

Step 3: We consider the new divisor 1366 and the new remainder 1119, and apply the division lemma to get

1366 = 1119 x 1 + 247

We consider the new divisor 1119 and the new remainder 247,and apply the division lemma to get

1119 = 247 x 4 + 131

We consider the new divisor 247 and the new remainder 131,and apply the division lemma to get

247 = 131 x 1 + 116

We consider the new divisor 131 and the new remainder 116,and apply the division lemma to get

131 = 116 x 1 + 15

We consider the new divisor 116 and the new remainder 15,and apply the division lemma to get

116 = 15 x 7 + 11

We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get

15 = 11 x 1 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 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 9068 and 3851 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(116,15) = HCF(131,116) = HCF(247,131) = HCF(1119,247) = HCF(1366,1119) = HCF(3851,1366) = HCF(9068,3851) .

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Frequently Asked Questions on HCF of 9068, 3851 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 9068, 3851?

Answer: HCF of 9068, 3851 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9068, 3851 using Euclid's Algorithm?

Answer: For arbitrary numbers 9068, 3851 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.