GCD of 250, 460, 51, 556 Calculator

Given Input numbers are 250, 460, 51, 556

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

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Greatest Common Divisior

We found the divisors of 250, 460, 51, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 460, 51, 556 is 1.

Therefore, GCD of numbers 250, 460, 51, 556 is 1

Given Input Data is 250, 460, 51, 556

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

Prime Factorization of 250 is 2 x 5 x 5 x 5

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 51 is 3 x 17

Prime Factorization of 556 is 2 x 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(250, 460) = 11500

GCD(250, 460) = ( 250 x 460 ) / 11500

GCD(250, 460) = 115000 / 11500

GCD(250, 460) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 51

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

LCM(10, 51) = 510

GCD(10, 51) = ( 10 x 51 ) / 510

GCD(10, 51) = 510 / 510

GCD(10, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 556

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

LCM(1, 556) = 556

GCD(1, 556) = ( 1 x 556 ) / 556

GCD(1, 556) = 556 / 556

GCD(1, 556) = 1

GCD of 250, 460, 51, 556 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 101, 343, 93, 303
• GCD of 250, 549, 81, 273
• GCD of 721, 483, 90, 717
• GCD of 723, 765, 44, 550
• GCD of 548, 766, 32, 126

1. What is the GCD of 250, 460, 51, 556?

GCD of 250, 460, 51, 556 is 1

2. Where do I get the detailed procedure to find GCD of 250, 460, 51, 556?

You can find a detailed procedure to find GCD of 250, 460, 51, 556 on our page.

3. How to find GCD of 250, 460, 51, 556 on a calculator?

You can find the GCD of 250, 460, 51, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.