GCD of 973, 328, 746, 204 Calculator

Given Input numbers are 973, 328, 746, 204

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

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Greatest Common Divisior

We found the divisors of 973, 328, 746, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 973, 328, 746, 204 is 1.

Therefore, GCD of numbers 973, 328, 746, 204 is 1

Given Input Data is 973, 328, 746, 204

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

Prime Factorization of 973 is 7 x 139

Prime Factorization of 328 is 2 x 2 x 2 x 41

Prime Factorization of 746 is 2 x 373

Prime Factorization of 204 is 2 x 2 x 3 x 17

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(973, 328) = 319144

GCD(973, 328) = ( 973 x 328 ) / 319144

GCD(973, 328) = 319144 / 319144

GCD(973, 328) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 746

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

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

GCD(1, 746) = 746 / 746

GCD(1, 746) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 204

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

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

GCD(1, 204) = 204 / 204

GCD(1, 204) = 1

GCD of 973, 328, 746, 204 is 1

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1. What is the GCD of 973, 328, 746, 204?

GCD of 973, 328, 746, 204 is 1

2. Where do I get the detailed procedure to find GCD of 973, 328, 746, 204?

You can find a detailed procedure to find GCD of 973, 328, 746, 204 on our page.

3. How to find GCD of 973, 328, 746, 204 on a calculator?

You can find the GCD of 973, 328, 746, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.