GCD of 540, 163, 41, 971 Calculator

Given Input numbers are 540, 163, 41, 971

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 163

List of positive integer divisors of 163 that divides 163 without a remainder.

1, 163

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Greatest Common Divisior

We found the divisors of 540, 163, 41, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 163, 41, 971 is 1.

Therefore, GCD of numbers 540, 163, 41, 971 is 1

Given Input Data is 540, 163, 41, 971

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 163 is 163

Prime Factorization of 41 is 41

Prime Factorization of 971 is 971

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(540, 163) = 88020

GCD(540, 163) = ( 540 x 163 ) / 88020

GCD(540, 163) = 88020 / 88020

GCD(540, 163) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

GCD of 540, 163, 41, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 183, 717, 43, 364
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• GCD of 255, 992, 32, 745

1. What is the GCD of 540, 163, 41, 971?

GCD of 540, 163, 41, 971 is 1

2. Where do I get the detailed procedure to find GCD of 540, 163, 41, 971?

You can find a detailed procedure to find GCD of 540, 163, 41, 971 on our page.

3. How to find GCD of 540, 163, 41, 971 on a calculator?

You can find the GCD of 540, 163, 41, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.