GCD of 390, 872, 255, 987 Calculator

Given Input numbers are 390, 872, 255, 987

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Greatest Common Divisior

We found the divisors of 390, 872, 255, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 872, 255, 987 is 1.

Therefore, GCD of numbers 390, 872, 255, 987 is 1

Given Input Data is 390, 872, 255, 987

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 987 is 3 x 7 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(390, 872) = 170040

GCD(390, 872) = ( 390 x 872 ) / 170040

GCD(390, 872) = 340080 / 170040

GCD(390, 872) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 255

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

LCM(2, 255) = 510

GCD(2, 255) = ( 2 x 255 ) / 510

GCD(2, 255) = 510 / 510

GCD(2, 255) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 987

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

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

GCD(1, 987) = 987 / 987

GCD(1, 987) = 1

GCD of 390, 872, 255, 987 is 1

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• GCD of 258, 359, 350, 131
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1. What is the GCD of 390, 872, 255, 987?

GCD of 390, 872, 255, 987 is 1

2. Where do I get the detailed procedure to find GCD of 390, 872, 255, 987?

You can find a detailed procedure to find GCD of 390, 872, 255, 987 on our page.

3. How to find GCD of 390, 872, 255, 987 on a calculator?

You can find the GCD of 390, 872, 255, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.