Highest Common Factor of 3927, 9859 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 3927, 9859 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3927, 9859 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 3927, 9859 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 3927, 9859 is 1.

HCF(3927, 9859) = 1

HCF of 3927, 9859 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 3927, 9859 is 1.

Highest Common Factor of 3927,9859 using Euclid's algorithm

Highest Common Factor of 3927,9859 is 1

Step 1: Since 9859 > 3927, we apply the division lemma to 9859 and 3927, to get

9859 = 3927 x 2 + 2005

Step 2: Since the reminder 3927 ≠ 0, we apply division lemma to 2005 and 3927, to get

3927 = 2005 x 1 + 1922

Step 3: We consider the new divisor 2005 and the new remainder 1922, and apply the division lemma to get

2005 = 1922 x 1 + 83

We consider the new divisor 1922 and the new remainder 83,and apply the division lemma to get

1922 = 83 x 23 + 13

We consider the new divisor 83 and the new remainder 13,and apply the division lemma to get

83 = 13 x 6 + 5

We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get

13 = 5 x 2 + 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 3927 and 9859 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(83,13) = HCF(1922,83) = HCF(2005,1922) = HCF(3927,2005) = HCF(9859,3927) .

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Frequently Asked Questions on HCF of 3927, 9859 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 3927, 9859?

Answer: HCF of 3927, 9859 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3927, 9859 using Euclid's Algorithm?

Answer: For arbitrary numbers 3927, 9859 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.