GCD of 564, 116, 324, 512 Calculator

Given Input numbers are 564, 116, 324, 512

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

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 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

GCD of numbers is the greatest common divisor

So, the GCD (564, 116, 324, 512) = 4.

Given numbers are 564, 116, 324, 512

The list of prime factors of all numbers are

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 116 are 2 x 2 x 29

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

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

The highest common occurrence is 2²

Therefore, GCD of 564, 116, 324, 512 is 4.

Given numbers are 564, 116, 324, 512

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

Apply this formula for all numbers.

Step1:

LCM(564, 116) = 16356

GCD(564, 116) = ( 564 x 116 ) / 16356

= 564 / 116

= 564

Step2:

LCM(4, 324) = 324

GCD(4, 324) = ( 4 x 324 ) / 324

= 4 / 324

= 4

Step3:

LCM(4, 512) = 512

GCD(4, 512) = ( 4 x 512 ) / 512

= 4 / 512

= 4

So, Greatest Common Divisor of 564, 116, 324, 512 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 582, 408, 849, 880
• GCD of 796, 692, 737, 499
• GCD of 559, 214, 271, 487
• GCD of 993, 334, 420, 559
• GCD of 185, 937, 395, 556

Given numbers are 564, 116, 324, 512
The greatest common divisor of numbers 564, 116, 324, 512 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 116, 324, 512 is 4.

1. What is the GCD of 564, 116, 324, 512?

GCD of given numbers 564, 116, 324, 512 is 4

2. How to calculate the greatest common divisor of 564, 116, 324, 512?

We can find the highest common divisor of 564, 116, 324, 512 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 564, 116, 324, 512 i.e 4.

3. How can I use the GCD of 564, 116, 324, 512Calculator?

Out the numbers 564, 116, 324, 512 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.