GCD of 250, 768, 209, 877 Calculator

Given Input numbers are 250, 768, 209, 877

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 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 877

List of positive integer divisors of 877 that divides 877 without a remainder.

1, 877

Greatest Common Divisior

We found the divisors of 250, 768, 209, 877 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 768, 209, 877 is 1.

Therefore, GCD of numbers 250, 768, 209, 877 is 1

Given Input Data is 250, 768, 209, 877

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 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 209 is 11 x 19

Prime Factorization of 877 is 877

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, 768) = 96000

GCD(250, 768) = ( 250 x 768 ) / 96000

GCD(250, 768) = 192000 / 96000

GCD(250, 768) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 209

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

LCM(2, 209) = 418

GCD(2, 209) = ( 2 x 209 ) / 418

GCD(2, 209) = 418 / 418

GCD(2, 209) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 877

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

LCM(1, 877) = 877

GCD(1, 877) = ( 1 x 877 ) / 877

GCD(1, 877) = 877 / 877

GCD(1, 877) = 1

GCD of 250, 768, 209, 877 is 1

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1. What is the GCD of 250, 768, 209, 877?

GCD of 250, 768, 209, 877 is 1

2. Where do I get the detailed procedure to find GCD of 250, 768, 209, 877?

You can find a detailed procedure to find GCD of 250, 768, 209, 877 on our page.

3. How to find GCD of 250, 768, 209, 877 on a calculator?

You can find the GCD of 250, 768, 209, 877 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.