GCD of 240, 456, 291, 365 Calculator

Given Input numbers are 240, 456, 291, 365

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 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Greatest Common Divisior

We found the divisors of 240, 456, 291, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 456, 291, 365 is 1.

Therefore, GCD of numbers 240, 456, 291, 365 is 1

Given Input Data is 240, 456, 291, 365

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 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 291 is 3 x 97

Prime Factorization of 365 is 5 x 73

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, 456) = 4560

GCD(240, 456) = ( 240 x 456 ) / 4560

GCD(240, 456) = 109440 / 4560

GCD(240, 456) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 291

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

LCM(24, 291) = 2328

GCD(24, 291) = ( 24 x 291 ) / 2328

GCD(24, 291) = 6984 / 2328

GCD(24, 291) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 365

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

LCM(3, 365) = 1095

GCD(3, 365) = ( 3 x 365 ) / 1095

GCD(3, 365) = 1095 / 1095

GCD(3, 365) = 1

GCD of 240, 456, 291, 365 is 1

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1. What is the GCD of 240, 456, 291, 365?

GCD of 240, 456, 291, 365 is 1

2. Where do I get the detailed procedure to find GCD of 240, 456, 291, 365?

You can find a detailed procedure to find GCD of 240, 456, 291, 365 on our page.

3. How to find GCD of 240, 456, 291, 365 on a calculator?

You can find the GCD of 240, 456, 291, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.