GCD of 564, 696, 570, 327 Calculator

Given Input numbers are 564, 696, 570, 327

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 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 327 :

The positive integer divisors of 327 that completely divides 327 are.

1, 3, 109, 327

GCD of numbers is the greatest common divisor

So, the GCD (564, 696, 570, 327) = 3.

Given numbers are 564, 696, 570, 327

The list of prime factors of all numbers are

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

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 570 are 2 x 3 x 5 x 19

Prime factors of 327 are 3 x 109

The highest common occurrence is 3¹

Therefore, GCD of 564, 696, 570, 327 is 3.

Given numbers are 564, 696, 570, 327

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

Apply this formula for all numbers.

Step1:

LCM(564, 696) = 32712

GCD(564, 696) = ( 564 x 696 ) / 32712

= 564 / 696

= 564

Step2:

LCM(12, 570) = 1140

GCD(12, 570) = ( 12 x 570 ) / 1140

= 12 / 570

= 12

Step3:

LCM(6, 327) = 654

GCD(6, 327) = ( 6 x 327 ) / 654

= 6 / 327

= 6

So, Greatest Common Divisor of 564, 696, 570, 327 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 274, 385, 650, 656
• GCD of 215, 300, 697, 303
• GCD of 689, 450, 206, 832
• GCD of 598, 305, 183, 101
• GCD of 534, 189, 511, 145

Given numbers are 564, 696, 570, 327
The greatest common divisor of numbers 564, 696, 570, 327 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 696, 570, 327 is 3.

1. What is the GCD of 564, 696, 570, 327?

GCD of given numbers 564, 696, 570, 327 is 3

2. How to calculate the greatest common divisor of 564, 696, 570, 327?

We can find the highest common divisor of 564, 696, 570, 327 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, 696, 570, 327 i.e 3.

3. How can I use the GCD of 564, 696, 570, 327Calculator?

Out the numbers 564, 696, 570, 327 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.