GCD of 678, 188, 94, 872 Calculator

Given Input numbers are 678, 188, 94, 872

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 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 678, 188, 94, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 188, 94, 872 is 2.

Therefore, GCD of numbers 678, 188, 94, 872 is 2

Given Input Data is 678, 188, 94, 872

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 188 is 2 x 2 x 47

Prime Factorization of 94 is 2 x 47

Prime Factorization of 872 is 2 x 2 x 2 x 109

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, 188) = 63732

GCD(678, 188) = ( 678 x 188 ) / 63732

GCD(678, 188) = 127464 / 63732

GCD(678, 188) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 94

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

LCM(2, 94) = 94

GCD(2, 94) = ( 2 x 94 ) / 94

GCD(2, 94) = 188 / 94

GCD(2, 94) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 872

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

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

GCD(2, 872) = 1744 / 872

GCD(2, 872) = 2

GCD of 678, 188, 94, 872 is 2

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1. What is the GCD of 678, 188, 94, 872?

GCD of 678, 188, 94, 872 is 2

2. Where do I get the detailed procedure to find GCD of 678, 188, 94, 872?

You can find a detailed procedure to find GCD of 678, 188, 94, 872 on our page.

3. How to find GCD of 678, 188, 94, 872 on a calculator?

You can find the GCD of 678, 188, 94, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.