GCD of 240, 273, 472, 940 Calculator

Given Input numbers are 240, 273, 472, 940

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 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Greatest Common Divisior

We found the divisors of 240, 273, 472, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 273, 472, 940 is 1.

Therefore, GCD of numbers 240, 273, 472, 940 is 1

Given Input Data is 240, 273, 472, 940

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 273 is 3 x 7 x 13

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 940 is 2 x 2 x 5 x 47

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, 273) = 21840

GCD(240, 273) = ( 240 x 273 ) / 21840

GCD(240, 273) = 65520 / 21840

GCD(240, 273) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 472

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

LCM(3, 472) = 1416

GCD(3, 472) = ( 3 x 472 ) / 1416

GCD(3, 472) = 1416 / 1416

GCD(3, 472) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 940

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

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

GCD(1, 940) = 940 / 940

GCD(1, 940) = 1

GCD of 240, 273, 472, 940 is 1

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1. What is the GCD of 240, 273, 472, 940?

GCD of 240, 273, 472, 940 is 1

2. Where do I get the detailed procedure to find GCD of 240, 273, 472, 940?

You can find a detailed procedure to find GCD of 240, 273, 472, 940 on our page.

3. How to find GCD of 240, 273, 472, 940 on a calculator?

You can find the GCD of 240, 273, 472, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.