GCD of 909, 452, 121, 540 Calculator

Given Input numbers are 909, 452, 121, 540

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

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

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

Greatest Common Divisior

We found the divisors of 909, 452, 121, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 452, 121, 540 is 1.

Therefore, GCD of numbers 909, 452, 121, 540 is 1

Given Input Data is 909, 452, 121, 540

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

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 121 is 11 x 11

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

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(909, 452) = 410868

GCD(909, 452) = ( 909 x 452 ) / 410868

GCD(909, 452) = 410868 / 410868

GCD(909, 452) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 121

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

LCM(1, 121) = 121

GCD(1, 121) = ( 1 x 121 ) / 121

GCD(1, 121) = 121 / 121

GCD(1, 121) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 540

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

LCM(1, 540) = 540

GCD(1, 540) = ( 1 x 540 ) / 540

GCD(1, 540) = 540 / 540

GCD(1, 540) = 1

GCD of 909, 452, 121, 540 is 1

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1. What is the GCD of 909, 452, 121, 540?

GCD of 909, 452, 121, 540 is 1

2. Where do I get the detailed procedure to find GCD of 909, 452, 121, 540?

You can find a detailed procedure to find GCD of 909, 452, 121, 540 on our page.

3. How to find GCD of 909, 452, 121, 540 on a calculator?

You can find the GCD of 909, 452, 121, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.