GCD of 460, 472, 512 Calculator

Given Input numbers are 460, 472, 512

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

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 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

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 (460, 472, 512) = 4.

Given numbers are 460, 472, 512

The list of prime factors of all numbers are

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

Prime factors of 472 are 2 x 2 x 2 x 59

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 460, 472, 512 is 4.

Given numbers are 460, 472, 512

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

Apply this formula for all numbers.

Step1:

LCM(460, 472) = 54280

GCD(460, 472) = ( 460 x 472 ) / 54280

= 460 / 472

= 460

Step2:

LCM(4, 512) = 512

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

= 4 / 512

= 4

So, Greatest Common Divisor of 460, 472, 512 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 384, 948, 378
• GCD of 675, 941, 323
• GCD of 449, 949, 262
• GCD of 975, 382, 447
• GCD of 724, 179, 690

Given numbers are 460, 472, 512
The greatest common divisor of numbers 460, 472, 512 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 472, 512 is 4.

1. What is the GCD of 460, 472, 512?

GCD of given numbers 460, 472, 512 is 4

2. How to calculate the greatest common divisor of 460, 472, 512?

We can find the highest common divisor of 460, 472, 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 460, 472, 512 i.e 4.

3. How can I use the GCD of 460, 472, 512Calculator?

Out the numbers 460, 472, 512 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.