GCD of 240, 116, 902, 521 Calculator

Given Input numbers are 240, 116, 902, 521

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Greatest Common Divisior

We found the divisors of 240, 116, 902, 521 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 116, 902, 521 is 1.

Therefore, GCD of numbers 240, 116, 902, 521 is 1

Given Input Data is 240, 116, 902, 521

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 521 is 521

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(240, 116) = 6960

GCD(240, 116) = ( 240 x 116 ) / 6960

GCD(240, 116) = 27840 / 6960

GCD(240, 116) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 902

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

LCM(4, 902) = 1804

GCD(4, 902) = ( 4 x 902 ) / 1804

GCD(4, 902) = 3608 / 1804

GCD(4, 902) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 521

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

LCM(2, 521) = 1042

GCD(2, 521) = ( 2 x 521 ) / 1042

GCD(2, 521) = 1042 / 1042

GCD(2, 521) = 1

GCD of 240, 116, 902, 521 is 1

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1. What is the GCD of 240, 116, 902, 521?

GCD of 240, 116, 902, 521 is 1

2. Where do I get the detailed procedure to find GCD of 240, 116, 902, 521?

You can find a detailed procedure to find GCD of 240, 116, 902, 521 on our page.

3. How to find GCD of 240, 116, 902, 521 on a calculator?

You can find the GCD of 240, 116, 902, 521 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.