Highest Common Factor of 4057, 3094 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 4057, 3094 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4057, 3094 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 4057, 3094 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 4057, 3094 is 1.

HCF(4057, 3094) = 1

HCF of 4057, 3094 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 4057, 3094 is 1.

Highest Common Factor of 4057,3094 using Euclid's algorithm

Highest Common Factor of 4057,3094 is 1

Step 1: Since 4057 > 3094, we apply the division lemma to 4057 and 3094, to get

4057 = 3094 x 1 + 963

Step 2: Since the reminder 3094 ≠ 0, we apply division lemma to 963 and 3094, to get

3094 = 963 x 3 + 205

Step 3: We consider the new divisor 963 and the new remainder 205, and apply the division lemma to get

963 = 205 x 4 + 143

We consider the new divisor 205 and the new remainder 143,and apply the division lemma to get

205 = 143 x 1 + 62

We consider the new divisor 143 and the new remainder 62,and apply the division lemma to get

143 = 62 x 2 + 19

We consider the new divisor 62 and the new remainder 19,and apply the division lemma to get

62 = 19 x 3 + 5

We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get

19 = 5 x 3 + 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 4057 and 3094 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(62,19) = HCF(143,62) = HCF(205,143) = HCF(963,205) = HCF(3094,963) = HCF(4057,3094) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 4057, 3094 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 4057, 3094?

Answer: HCF of 4057, 3094 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4057, 3094 using Euclid's Algorithm?

Answer: For arbitrary numbers 4057, 3094 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.