GCD of 204, 854, 993, 675 Calculator

Given Input numbers are 204, 854, 993, 675

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

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Greatest Common Divisior

We found the divisors of 204, 854, 993, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 854, 993, 675 is 1.

Therefore, GCD of numbers 204, 854, 993, 675 is 1

Given Input Data is 204, 854, 993, 675

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

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 993 is 3 x 331

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

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(204, 854) = 87108

GCD(204, 854) = ( 204 x 854 ) / 87108

GCD(204, 854) = 174216 / 87108

GCD(204, 854) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 993

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

LCM(2, 993) = 1986

GCD(2, 993) = ( 2 x 993 ) / 1986

GCD(2, 993) = 1986 / 1986

GCD(2, 993) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 675

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

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

GCD(1, 675) = 675 / 675

GCD(1, 675) = 1

GCD of 204, 854, 993, 675 is 1

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1. What is the GCD of 204, 854, 993, 675?

GCD of 204, 854, 993, 675 is 1

2. Where do I get the detailed procedure to find GCD of 204, 854, 993, 675?

You can find a detailed procedure to find GCD of 204, 854, 993, 675 on our page.

3. How to find GCD of 204, 854, 993, 675 on a calculator?

You can find the GCD of 204, 854, 993, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.