GCD of 472, 584, 359, 278 Calculator

Given Input numbers are 472, 584, 359, 278

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

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 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 472, 584, 359, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 584, 359, 278 is 1.

Therefore, GCD of numbers 472, 584, 359, 278 is 1

Given Input Data is 472, 584, 359, 278

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

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

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 359 is 359

Prime Factorization of 278 is 2 x 139

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(472, 584) = 34456

GCD(472, 584) = ( 472 x 584 ) / 34456

GCD(472, 584) = 275648 / 34456

GCD(472, 584) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 359

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

LCM(8, 359) = 2872

GCD(8, 359) = ( 8 x 359 ) / 2872

GCD(8, 359) = 2872 / 2872

GCD(8, 359) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

GCD of 472, 584, 359, 278 is 1

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1. What is the GCD of 472, 584, 359, 278?

GCD of 472, 584, 359, 278 is 1

2. Where do I get the detailed procedure to find GCD of 472, 584, 359, 278?

You can find a detailed procedure to find GCD of 472, 584, 359, 278 on our page.

3. How to find GCD of 472, 584, 359, 278 on a calculator?

You can find the GCD of 472, 584, 359, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.