GCD of 598, 903, 538, 660 Calculator

Given Input numbers are 598, 903, 538, 660

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

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 598, 903, 538, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 903, 538, 660 is 1.

Therefore, GCD of numbers 598, 903, 538, 660 is 1

Given Input Data is 598, 903, 538, 660

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

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 903 is 3 x 7 x 43

Prime Factorization of 538 is 2 x 269

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

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(598, 903) = 539994

GCD(598, 903) = ( 598 x 903 ) / 539994

GCD(598, 903) = 539994 / 539994

GCD(598, 903) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

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

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 1

GCD of 598, 903, 538, 660 is 1

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1. What is the GCD of 598, 903, 538, 660?

GCD of 598, 903, 538, 660 is 1

2. Where do I get the detailed procedure to find GCD of 598, 903, 538, 660?

You can find a detailed procedure to find GCD of 598, 903, 538, 660 on our page.

3. How to find GCD of 598, 903, 538, 660 on a calculator?

You can find the GCD of 598, 903, 538, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.