GCD of 250, 817, 748, 203 Calculator

Given Input numbers are 250, 817, 748, 203

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 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Greatest Common Divisior

We found the divisors of 250, 817, 748, 203 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 817, 748, 203 is 1.

Therefore, GCD of numbers 250, 817, 748, 203 is 1

Given Input Data is 250, 817, 748, 203

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 817 is 19 x 43

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 203 is 7 x 29

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, 817) = 204250

GCD(250, 817) = ( 250 x 817 ) / 204250

GCD(250, 817) = 204250 / 204250

GCD(250, 817) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 203

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

LCM(1, 203) = 203

GCD(1, 203) = ( 1 x 203 ) / 203

GCD(1, 203) = 203 / 203

GCD(1, 203) = 1

GCD of 250, 817, 748, 203 is 1

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1. What is the GCD of 250, 817, 748, 203?

GCD of 250, 817, 748, 203 is 1

2. Where do I get the detailed procedure to find GCD of 250, 817, 748, 203?

You can find a detailed procedure to find GCD of 250, 817, 748, 203 on our page.

3. How to find GCD of 250, 817, 748, 203 on a calculator?

You can find the GCD of 250, 817, 748, 203 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.