GCD of 327, 457, 198, 672 Calculator

Given Input numbers are 327, 457, 198, 672

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

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Greatest Common Divisior

We found the divisors of 327, 457, 198, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 327, 457, 198, 672 is 1.

Therefore, GCD of numbers 327, 457, 198, 672 is 1

Given Input Data is 327, 457, 198, 672

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

Prime Factorization of 327 is 3 x 109

Prime Factorization of 457 is 457

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

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(327, 457) = 149439

GCD(327, 457) = ( 327 x 457 ) / 149439

GCD(327, 457) = 149439 / 149439

GCD(327, 457) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 672

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

LCM(1, 672) = 672

GCD(1, 672) = ( 1 x 672 ) / 672

GCD(1, 672) = 672 / 672

GCD(1, 672) = 1

GCD of 327, 457, 198, 672 is 1

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1. What is the GCD of 327, 457, 198, 672?

GCD of 327, 457, 198, 672 is 1

2. Where do I get the detailed procedure to find GCD of 327, 457, 198, 672?

You can find a detailed procedure to find GCD of 327, 457, 198, 672 on our page.

3. How to find GCD of 327, 457, 198, 672 on a calculator?

You can find the GCD of 327, 457, 198, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.