GCD of 672, 297, 998, 899 Calculator

Given Input numbers are 672, 297, 998, 899

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 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 672, 297, 998, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 297, 998, 899 is 1.

Therefore, GCD of numbers 672, 297, 998, 899 is 1

Given Input Data is 672, 297, 998, 899

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 297 is 3 x 3 x 3 x 11

Prime Factorization of 998 is 2 x 499

Prime Factorization of 899 is 29 x 31

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, 297) = 66528

GCD(672, 297) = ( 672 x 297 ) / 66528

GCD(672, 297) = 199584 / 66528

GCD(672, 297) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 998

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

LCM(3, 998) = 2994

GCD(3, 998) = ( 3 x 998 ) / 2994

GCD(3, 998) = 2994 / 2994

GCD(3, 998) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 899

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

LCM(1, 899) = 899

GCD(1, 899) = ( 1 x 899 ) / 899

GCD(1, 899) = 899 / 899

GCD(1, 899) = 1

GCD of 672, 297, 998, 899 is 1

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1. What is the GCD of 672, 297, 998, 899?

GCD of 672, 297, 998, 899 is 1

2. Where do I get the detailed procedure to find GCD of 672, 297, 998, 899?

You can find a detailed procedure to find GCD of 672, 297, 998, 899 on our page.

3. How to find GCD of 672, 297, 998, 899 on a calculator?

You can find the GCD of 672, 297, 998, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.