Highest Common Factor of 4156, 6081 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 4156, 6081 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4156, 6081 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 4156, 6081 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 4156, 6081 is 1.

HCF(4156, 6081) = 1

HCF of 4156, 6081 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 4156, 6081 is 1.

Highest Common Factor of 4156,6081 using Euclid's algorithm

Highest Common Factor of 4156,6081 is 1

Step 1: Since 6081 > 4156, we apply the division lemma to 6081 and 4156, to get

6081 = 4156 x 1 + 1925

Step 2: Since the reminder 4156 ≠ 0, we apply division lemma to 1925 and 4156, to get

4156 = 1925 x 2 + 306

Step 3: We consider the new divisor 1925 and the new remainder 306, and apply the division lemma to get

1925 = 306 x 6 + 89

We consider the new divisor 306 and the new remainder 89,and apply the division lemma to get

306 = 89 x 3 + 39

We consider the new divisor 89 and the new remainder 39,and apply the division lemma to get

89 = 39 x 2 + 11

We consider the new divisor 39 and the new remainder 11,and apply the division lemma to get

39 = 11 x 3 + 6

We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get

11 = 6 x 1 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4156 and 6081 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(39,11) = HCF(89,39) = HCF(306,89) = HCF(1925,306) = HCF(4156,1925) = HCF(6081,4156) .

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Frequently Asked Questions on HCF of 4156, 6081 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 4156, 6081?

Answer: HCF of 4156, 6081 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4156, 6081 using Euclid's Algorithm?

Answer: For arbitrary numbers 4156, 6081 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.