GCD of 990, 504, 579, 204 Calculator

Given Input numbers are 990, 504, 579, 204

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

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 579 :

The positive integer divisors of 579 that completely divides 579 are.

1, 3, 193, 579

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

GCD of numbers is the greatest common divisor

So, the GCD (990, 504, 579, 204) = 3.

Given numbers are 990, 504, 579, 204

The list of prime factors of all numbers are

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 579 are 3 x 193

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

The highest common occurrence is 3¹

Therefore, GCD of 990, 504, 579, 204 is 3.

Given numbers are 990, 504, 579, 204

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

Apply this formula for all numbers.

Step1:

LCM(990, 504) = 27720

GCD(990, 504) = ( 990 x 504 ) / 27720

= 990 / 504

= 990

Step2:

LCM(18, 579) = 3474

GCD(18, 579) = ( 18 x 579 ) / 3474

= 18 / 579

= 18

Step3:

LCM(3, 204) = 204

GCD(3, 204) = ( 3 x 204 ) / 204

= 3 / 204

= 3

So, Greatest Common Divisor of 990, 504, 579, 204 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 921, 763, 609, 712
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Given numbers are 990, 504, 579, 204
The greatest common divisor of numbers 990, 504, 579, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 504, 579, 204 is 3.

1. What is the GCD of 990, 504, 579, 204?

GCD of given numbers 990, 504, 579, 204 is 3

2. How to calculate the greatest common divisor of 990, 504, 579, 204?

We can find the highest common divisor of 990, 504, 579, 204 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 990, 504, 579, 204 i.e 3.

3. How can I use the GCD of 990, 504, 579, 204Calculator?

Out the numbers 990, 504, 579, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.