GCD of 576, 396, 460, 932 Calculator

Given Input numbers are 576, 396, 460, 932

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 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 932 :

The positive integer divisors of 932 that completely divides 932 are.

1, 2, 4, 233, 466, 932

GCD of numbers is the greatest common divisor

So, the GCD (576, 396, 460, 932) = 4.

Given numbers are 576, 396, 460, 932

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 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 932 are 2 x 2 x 233

The highest common occurrence is 2²

Therefore, GCD of 576, 396, 460, 932 is 4.

Given numbers are 576, 396, 460, 932

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

Apply this formula for all numbers.

Step1:

LCM(576, 396) = 6336

GCD(576, 396) = ( 576 x 396 ) / 6336

= 576 / 396

= 576

Step2:

LCM(36, 460) = 4140

GCD(36, 460) = ( 36 x 460 ) / 4140

= 36 / 460

= 36

Step3:

LCM(4, 932) = 932

GCD(4, 932) = ( 4 x 932 ) / 932

= 4 / 932

= 4

So, Greatest Common Divisor of 576, 396, 460, 932 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 431, 573, 768, 192
• GCD of 559, 743, 444, 878
• GCD of 802, 289, 917, 697
• GCD of 844, 470, 225, 260
• GCD of 465, 700, 457, 458

Given numbers are 576, 396, 460, 932
The greatest common divisor of numbers 576, 396, 460, 932 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 396, 460, 932 is 4.

1. What is the GCD of 576, 396, 460, 932?

GCD of given numbers 576, 396, 460, 932 is 4

2. How to calculate the greatest common divisor of 576, 396, 460, 932?

We can find the highest common divisor of 576, 396, 460, 932 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, 396, 460, 932 i.e 4.

3. How can I use the GCD of 576, 396, 460, 932Calculator?

Out the numbers 576, 396, 460, 932 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.