GCD of 672, 512, 894, 983 Calculator

Given Input numbers are 672, 512, 894, 983

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 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Greatest Common Divisior

We found the divisors of 672, 512, 894, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 512, 894, 983 is 1.

Therefore, GCD of numbers 672, 512, 894, 983 is 1

Given Input Data is 672, 512, 894, 983

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 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 983 is 983

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, 512) = 10752

GCD(672, 512) = ( 672 x 512 ) / 10752

GCD(672, 512) = 344064 / 10752

GCD(672, 512) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 894

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

LCM(32, 894) = 14304

GCD(32, 894) = ( 32 x 894 ) / 14304

GCD(32, 894) = 28608 / 14304

GCD(32, 894) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 983

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

LCM(2, 983) = 1966

GCD(2, 983) = ( 2 x 983 ) / 1966

GCD(2, 983) = 1966 / 1966

GCD(2, 983) = 1

GCD of 672, 512, 894, 983 is 1

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1. What is the GCD of 672, 512, 894, 983?

GCD of 672, 512, 894, 983 is 1

2. Where do I get the detailed procedure to find GCD of 672, 512, 894, 983?

You can find a detailed procedure to find GCD of 672, 512, 894, 983 on our page.

3. How to find GCD of 672, 512, 894, 983 on a calculator?

You can find the GCD of 672, 512, 894, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.