GCD of 678, 512, 788, 678 Calculator

Given Input numbers are 678, 512, 788, 678

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

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

Divisors of 788

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

1, 2, 4, 197, 394, 788

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Greatest Common Divisior

We found the divisors of 678, 512, 788, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 512, 788, 678 is 2.

Therefore, GCD of numbers 678, 512, 788, 678 is 2

Given Input Data is 678, 512, 788, 678

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 678 is 2 x 3 x 113

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(678, 512) = 173568

GCD(678, 512) = ( 678 x 512 ) / 173568

GCD(678, 512) = 347136 / 173568

GCD(678, 512) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 788

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

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

GCD(2, 788) = 1576 / 788

GCD(2, 788) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 678

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

LCM(2, 678) = 678

GCD(2, 678) = ( 2 x 678 ) / 678

GCD(2, 678) = 1356 / 678

GCD(2, 678) = 2

GCD of 678, 512, 788, 678 is 2

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1. What is the GCD of 678, 512, 788, 678?

GCD of 678, 512, 788, 678 is 2

2. Where do I get the detailed procedure to find GCD of 678, 512, 788, 678?

You can find a detailed procedure to find GCD of 678, 512, 788, 678 on our page.

3. How to find GCD of 678, 512, 788, 678 on a calculator?

You can find the GCD of 678, 512, 788, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.