GCD of 250, 869, 305, 654 Calculator

Given Input numbers are 250, 869, 305, 654

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 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Greatest Common Divisior

We found the divisors of 250, 869, 305, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 869, 305, 654 is 1.

Therefore, GCD of numbers 250, 869, 305, 654 is 1

Given Input Data is 250, 869, 305, 654

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 869 is 11 x 79

Prime Factorization of 305 is 5 x 61

Prime Factorization of 654 is 2 x 3 x 109

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, 869) = 217250

GCD(250, 869) = ( 250 x 869 ) / 217250

GCD(250, 869) = 217250 / 217250

GCD(250, 869) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 305

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

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

GCD(1, 305) = 305 / 305

GCD(1, 305) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

GCD of 250, 869, 305, 654 is 1

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1. What is the GCD of 250, 869, 305, 654?

GCD of 250, 869, 305, 654 is 1

2. Where do I get the detailed procedure to find GCD of 250, 869, 305, 654?

You can find a detailed procedure to find GCD of 250, 869, 305, 654 on our page.

3. How to find GCD of 250, 869, 305, 654 on a calculator?

You can find the GCD of 250, 869, 305, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.