Highest Common Factor of 6173, 3530 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 6173, 3530 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6173, 3530 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 6173, 3530 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 6173, 3530 is 1.

HCF(6173, 3530) = 1

HCF of 6173, 3530 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 6173, 3530 is 1.

Highest Common Factor of 6173,3530 using Euclid's algorithm

Highest Common Factor of 6173,3530 is 1

Step 1: Since 6173 > 3530, we apply the division lemma to 6173 and 3530, to get

6173 = 3530 x 1 + 2643

Step 2: Since the reminder 3530 ≠ 0, we apply division lemma to 2643 and 3530, to get

3530 = 2643 x 1 + 887

Step 3: We consider the new divisor 2643 and the new remainder 887, and apply the division lemma to get

2643 = 887 x 2 + 869

We consider the new divisor 887 and the new remainder 869,and apply the division lemma to get

887 = 869 x 1 + 18

We consider the new divisor 869 and the new remainder 18,and apply the division lemma to get

869 = 18 x 48 + 5

We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get

18 = 5 x 3 + 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 6173 and 3530 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(869,18) = HCF(887,869) = HCF(2643,887) = HCF(3530,2643) = HCF(6173,3530) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 6173, 3530 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 6173, 3530?

Answer: HCF of 6173, 3530 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6173, 3530 using Euclid's Algorithm?

Answer: For arbitrary numbers 6173, 3530 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.