GCD of 576, 945, 504 Calculator

Given Input numbers are 576, 945, 504

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 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

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

GCD of numbers is the greatest common divisor

So, the GCD (576, 945, 504) = 9.

Given numbers are 576, 945, 504

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 945 are 3 x 3 x 3 x 5 x 7

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

The highest common occurrence is 3²

Therefore, GCD of 576, 945, 504 is 9.

Given numbers are 576, 945, 504

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

Apply this formula for all numbers.

Step1:

LCM(576, 945) = 60480

GCD(576, 945) = ( 576 x 945 ) / 60480

= 576 / 945

= 576

Step2:

LCM(9, 504) = 504

GCD(9, 504) = ( 9 x 504 ) / 504

= 9 / 504

= 9

So, Greatest Common Divisor of 576, 945, 504 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 290, 705, 119
• GCD of 985, 229, 739
• GCD of 301, 848, 940
• GCD of 930, 615, 996
• GCD of 263, 204, 832

Given numbers are 576, 945, 504
The greatest common divisor of numbers 576, 945, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 945, 504 is 9.

1. What is the GCD of 576, 945, 504?

GCD of given numbers 576, 945, 504 is 9

2. How to calculate the greatest common divisor of 576, 945, 504?

We can find the highest common divisor of 576, 945, 504 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, 945, 504 i.e 9.

3. How can I use the GCD of 576, 945, 504Calculator?

Out the numbers 576, 945, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.