GCD of 748, 250, 18, 593 Calculator

Given Input numbers are 748, 250, 18, 593

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

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 250

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

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 593

List of positive integer divisors of 593 that divides 593 without a remainder.

1, 593

Greatest Common Divisior

We found the divisors of 748, 250, 18, 593 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 250, 18, 593 is 1.

Therefore, GCD of numbers 748, 250, 18, 593 is 1

Given Input Data is 748, 250, 18, 593

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

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

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 593 is 593

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(748, 250) = 93500

GCD(748, 250) = ( 748 x 250 ) / 93500

GCD(748, 250) = 187000 / 93500

GCD(748, 250) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 593

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

LCM(2, 593) = 1186

GCD(2, 593) = ( 2 x 593 ) / 1186

GCD(2, 593) = 1186 / 1186

GCD(2, 593) = 1

GCD of 748, 250, 18, 593 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 216, 831, 66, 320
• GCD of 195, 496, 43, 800
• GCD of 975, 816, 96, 963
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• GCD of 371, 208, 88, 788

1. What is the GCD of 748, 250, 18, 593?

GCD of 748, 250, 18, 593 is 1

2. Where do I get the detailed procedure to find GCD of 748, 250, 18, 593?

You can find a detailed procedure to find GCD of 748, 250, 18, 593 on our page.

3. How to find GCD of 748, 250, 18, 593 on a calculator?

You can find the GCD of 748, 250, 18, 593 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.