GCD of 788, 516, 32, 468 Calculator

Given Input numbers are 788, 516, 32, 468

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Greatest Common Divisior

We found the divisors of 788, 516, 32, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 516, 32, 468 is 4.

Therefore, GCD of numbers 788, 516, 32, 468 is 4

Given Input Data is 788, 516, 32, 468

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

Step1:

Let's calculate the GCD of first two numbers

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

LCM(788, 516) = 101652

GCD(788, 516) = ( 788 x 516 ) / 101652

GCD(788, 516) = 406608 / 101652

GCD(788, 516) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 32

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

LCM(4, 32) = 32

GCD(4, 32) = ( 4 x 32 ) / 32

GCD(4, 32) = 128 / 32

GCD(4, 32) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 468

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

LCM(4, 468) = 468

GCD(4, 468) = ( 4 x 468 ) / 468

GCD(4, 468) = 1872 / 468

GCD(4, 468) = 4

GCD of 788, 516, 32, 468 is 4

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• GCD of 452, 205, 19, 605
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• GCD of 285, 255, 14, 553

1. What is the GCD of 788, 516, 32, 468?

GCD of 788, 516, 32, 468 is 4

2. Where do I get the detailed procedure to find GCD of 788, 516, 32, 468?

You can find a detailed procedure to find GCD of 788, 516, 32, 468 on our page.

3. How to find GCD of 788, 516, 32, 468 on a calculator?

You can find the GCD of 788, 516, 32, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.