GCD of 576, 990, 345, 109 Calculator

Given Input numbers are 576, 990, 345, 109

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

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

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 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (576, 990, 345, 109) = 1.

Given numbers are 576, 990, 345, 109

The list of prime factors of all numbers are

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Prime factors of 345 are 3 x 5 x 23

Prime factors of 109 are 109

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 576, 990, 345, 109

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

Apply this formula for all numbers.

Step1:

LCM(576, 990) = 31680

GCD(576, 990) = ( 576 x 990 ) / 31680

= 576 / 990

= 576

Step2:

LCM(18, 345) = 2070

GCD(18, 345) = ( 18 x 345 ) / 2070

= 18 / 345

= 18

Step3:

LCM(3, 109) = 327

GCD(3, 109) = ( 3 x 109 ) / 327

= 3 / 109

= 3

So, Greatest Common Divisor of 576, 990, 345, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 329, 569, 827
• GCD of 320, 130, 202, 927
• GCD of 229, 777, 589, 549
• GCD of 615, 187, 394, 636
• GCD of 287, 796, 412, 879

Given numbers are 576, 990, 345, 109
The greatest common divisor of numbers 576, 990, 345, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 990, 345, 109 is 1.

1. What is the GCD of 576, 990, 345, 109?

GCD of given numbers 576, 990, 345, 109 is 1

2. How to calculate the greatest common divisor of 576, 990, 345, 109?

We can find the highest common divisor of 576, 990, 345, 109 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 576, 990, 345, 109 i.e 1.

3. How can I use the GCD of 576, 990, 345, 109Calculator?

Out the numbers 576, 990, 345, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.