GCD of 204, 975, 81, 123 Calculator

Given Input numbers are 204, 975, 81, 123

In the factoring method, we have to find the divisors of all numbers

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

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

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 81 :

The positive integer divisors of 81 that completely divides 81 are.

1, 3, 9, 27, 81

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

GCD of numbers is the greatest common divisor

So, the GCD (204, 975, 81, 123) = 3.

Given numbers are 204, 975, 81, 123

The list of prime factors of all numbers are

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 81 are 3 x 3 x 3 x 3

Prime factors of 123 are 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 204, 975, 81, 123 is 3.

Given numbers are 204, 975, 81, 123

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(204, 975) = 66300

GCD(204, 975) = ( 204 x 975 ) / 66300

= 204 / 975

= 204

Step2:

LCM(3, 81) = 81

GCD(3, 81) = ( 3 x 81 ) / 81

= 3 / 81

= 3

Step3:

LCM(3, 123) = 123

GCD(3, 123) = ( 3 x 123 ) / 123

= 3 / 123

= 3

So, Greatest Common Divisor of 204, 975, 81, 123 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 236, 600, 61, 350
• GCD of 884, 306, 45, 344
• GCD of 391, 724, 78, 302
• GCD of 130, 574, 19, 506
• GCD of 127, 220, 39, 610

Given numbers are 204, 975, 81, 123
The greatest common divisor of numbers 204, 975, 81, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 975, 81, 123 is 3.

1. What is the GCD of 204, 975, 81, 123?

GCD of given numbers 204, 975, 81, 123 is 3

2. How to calculate the greatest common divisor of 204, 975, 81, 123?

We can find the highest common divisor of 204, 975, 81, 123 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 204, 975, 81, 123 i.e 3.

3. How can I use the GCD of 204, 975, 81, 123Calculator?

Out the numbers 204, 975, 81, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.