GCD of 512, 972, 564, 390 Calculator

Given Input numbers are 512, 972, 564, 390

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

Divisors of 512 :

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

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

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

GCD of numbers is the greatest common divisor

So, the GCD (512, 972, 564, 390) = 2.

Given numbers are 512, 972, 564, 390

The list of prime factors of all numbers are

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

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Prime factors of 390 are 2 x 3 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 512, 972, 564, 390 is 2.

Given numbers are 512, 972, 564, 390

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

Apply this formula for all numbers.

Step1:

LCM(512, 972) = 124416

GCD(512, 972) = ( 512 x 972 ) / 124416

= 512 / 972

= 512

Step2:

LCM(4, 564) = 564

GCD(4, 564) = ( 4 x 564 ) / 564

= 4 / 564

= 4

Step3:

LCM(4, 390) = 780

GCD(4, 390) = ( 4 x 390 ) / 780

= 4 / 390

= 4

So, Greatest Common Divisor of 512, 972, 564, 390 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 133, 461, 582, 166
• GCD of 889, 514, 626, 934
• GCD of 220, 855, 660, 274
• GCD of 641, 451, 113, 412
• GCD of 285, 514, 632, 965

Given numbers are 512, 972, 564, 390
The greatest common divisor of numbers 512, 972, 564, 390 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 972, 564, 390 is 2.

1. What is the GCD of 512, 972, 564, 390?

GCD of given numbers 512, 972, 564, 390 is 2

2. How to calculate the greatest common divisor of 512, 972, 564, 390?

We can find the highest common divisor of 512, 972, 564, 390 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 512, 972, 564, 390 i.e 2.

3. How can I use the GCD of 512, 972, 564, 390Calculator?

Out the numbers 512, 972, 564, 390 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.