GCD of 500, 278, 319, 372 Calculator

Given Input numbers are 500, 278, 319, 372

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 278

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

1, 2, 139, 278

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Greatest Common Divisior

We found the divisors of 500, 278, 319, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 278, 319, 372 is 1.

Therefore, GCD of numbers 500, 278, 319, 372 is 1

Given Input Data is 500, 278, 319, 372

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 278 is 2 x 139

Prime Factorization of 319 is 11 x 29

Prime Factorization of 372 is 2 x 2 x 3 x 31

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(500, 278) = 69500

GCD(500, 278) = ( 500 x 278 ) / 69500

GCD(500, 278) = 139000 / 69500

GCD(500, 278) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 319

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

LCM(2, 319) = 638

GCD(2, 319) = ( 2 x 319 ) / 638

GCD(2, 319) = 638 / 638

GCD(2, 319) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 372

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

LCM(1, 372) = 372

GCD(1, 372) = ( 1 x 372 ) / 372

GCD(1, 372) = 372 / 372

GCD(1, 372) = 1

GCD of 500, 278, 319, 372 is 1

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1. What is the GCD of 500, 278, 319, 372?

GCD of 500, 278, 319, 372 is 1

2. Where do I get the detailed procedure to find GCD of 500, 278, 319, 372?

You can find a detailed procedure to find GCD of 500, 278, 319, 372 on our page.

3. How to find GCD of 500, 278, 319, 372 on a calculator?

You can find the GCD of 500, 278, 319, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.