GCD of 323, 975, 554, 684 Calculator

Given Input numbers are 323, 975, 554, 684

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

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 323, 975, 554, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 975, 554, 684 is 1.

Therefore, GCD of numbers 323, 975, 554, 684 is 1

Given Input Data is 323, 975, 554, 684

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

Prime Factorization of 323 is 17 x 19

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 554 is 2 x 277

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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(323, 975) = 314925

GCD(323, 975) = ( 323 x 975 ) / 314925

GCD(323, 975) = 314925 / 314925

GCD(323, 975) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 554

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

LCM(1, 554) = 554

GCD(1, 554) = ( 1 x 554 ) / 554

GCD(1, 554) = 554 / 554

GCD(1, 554) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

GCD of 323, 975, 554, 684 is 1

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1. What is the GCD of 323, 975, 554, 684?

GCD of 323, 975, 554, 684 is 1

2. Where do I get the detailed procedure to find GCD of 323, 975, 554, 684?

You can find a detailed procedure to find GCD of 323, 975, 554, 684 on our page.

3. How to find GCD of 323, 975, 554, 684 on a calculator?

You can find the GCD of 323, 975, 554, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.