GCD of 512, 462, 412, 782 Calculator

Given Input numbers are 512, 462, 412, 782

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 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

GCD of numbers is the greatest common divisor

So, the GCD (512, 462, 412, 782) = 2.

Given numbers are 512, 462, 412, 782

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 462 are 2 x 3 x 7 x 11

Prime factors of 412 are 2 x 2 x 103

Prime factors of 782 are 2 x 17 x 23

The highest common occurrence is 2¹

Therefore, GCD of 512, 462, 412, 782 is 2.

Given numbers are 512, 462, 412, 782

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

Apply this formula for all numbers.

Step1:

LCM(512, 462) = 118272

GCD(512, 462) = ( 512 x 462 ) / 118272

= 512 / 462

= 512

Step2:

LCM(2, 412) = 412

GCD(2, 412) = ( 2 x 412 ) / 412

= 2 / 412

= 2

Step3:

LCM(2, 782) = 782

GCD(2, 782) = ( 2 x 782 ) / 782

= 2 / 782

= 2

So, Greatest Common Divisor of 512, 462, 412, 782 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 848, 884, 768, 921
• GCD of 852, 981, 477, 384
• GCD of 784, 438, 743, 598
• GCD of 672, 960, 415, 972
• GCD of 215, 569, 544, 274

Given numbers are 512, 462, 412, 782
The greatest common divisor of numbers 512, 462, 412, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 462, 412, 782 is 2.

1. What is the GCD of 512, 462, 412, 782?

GCD of given numbers 512, 462, 412, 782 is 2

2. How to calculate the greatest common divisor of 512, 462, 412, 782?

We can find the highest common divisor of 512, 462, 412, 782 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, 462, 412, 782 i.e 2.

3. How can I use the GCD of 512, 462, 412, 782Calculator?

Out the numbers 512, 462, 412, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.