GCD of 672, 634, 251, 198 Calculator

Given Input numbers are 672, 634, 251, 198

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

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

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

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

Greatest Common Divisior

We found the divisors of 672, 634, 251, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 634, 251, 198 is 1.

Therefore, GCD of numbers 672, 634, 251, 198 is 1

Given Input Data is 672, 634, 251, 198

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

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

Prime Factorization of 634 is 2 x 317

Prime Factorization of 251 is 251

Prime Factorization of 198 is 2 x 3 x 3 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(672, 634) = 213024

GCD(672, 634) = ( 672 x 634 ) / 213024

GCD(672, 634) = 426048 / 213024

GCD(672, 634) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 251

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

LCM(2, 251) = 502

GCD(2, 251) = ( 2 x 251 ) / 502

GCD(2, 251) = 502 / 502

GCD(2, 251) = 1

Step3:

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

GCD of 672, 634, 251, 198 is 1

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1. What is the GCD of 672, 634, 251, 198?

GCD of 672, 634, 251, 198 is 1

2. Where do I get the detailed procedure to find GCD of 672, 634, 251, 198?

You can find a detailed procedure to find GCD of 672, 634, 251, 198 on our page.

3. How to find GCD of 672, 634, 251, 198 on a calculator?

You can find the GCD of 672, 634, 251, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.