GCD of 309, 285, 324, 872 Calculator

Given Input numbers are 309, 285, 324, 872

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

GCD of numbers is the greatest common divisor

So, the GCD (309, 285, 324, 872) = 1.

Given numbers are 309, 285, 324, 872

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 285 are 3 x 5 x 19

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 872 are 2 x 2 x 2 x 109

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

Given numbers are 309, 285, 324, 872

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

Apply this formula for all numbers.

Step1:

LCM(309, 285) = 29355

GCD(309, 285) = ( 309 x 285 ) / 29355

= 309 / 285

= 309

Step2:

LCM(3, 324) = 324

GCD(3, 324) = ( 3 x 324 ) / 324

= 3 / 324

= 3

Step3:

LCM(3, 872) = 2616

GCD(3, 872) = ( 3 x 872 ) / 2616

= 3 / 872

= 3

So, Greatest Common Divisor of 309, 285, 324, 872 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 701, 200, 752, 600
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Given numbers are 309, 285, 324, 872
The greatest common divisor of numbers 309, 285, 324, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 285, 324, 872 is 1.

1. What is the GCD of 309, 285, 324, 872?

GCD of given numbers 309, 285, 324, 872 is 1

2. How to calculate the greatest common divisor of 309, 285, 324, 872?

We can find the highest common divisor of 309, 285, 324, 872 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 309, 285, 324, 872 i.e 1.

3. How can I use the GCD of 309, 285, 324, 872Calculator?

Out the numbers 309, 285, 324, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.