GCD of 684, 290, 128 Calculator

Given Input numbers are 684, 290, 128

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

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

Greatest Common Divisior

We found the divisors of 684, 290, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 290, 128 is 2.

Therefore, GCD of numbers 684, 290, 128 is 2

Given Input Data is 684, 290, 128

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

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(684, 290) = 99180

GCD(684, 290) = ( 684 x 290 ) / 99180

GCD(684, 290) = 198360 / 99180

GCD(684, 290) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 128

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

LCM(2, 128) = 128

GCD(2, 128) = ( 2 x 128 ) / 128

GCD(2, 128) = 256 / 128

GCD(2, 128) = 2

GCD of 684, 290, 128 is 2

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1. What is the GCD of 684, 290, 128?

GCD of 684, 290, 128 is 2

2. Where do I get the detailed procedure to find GCD of 684, 290, 128?

You can find a detailed procedure to find GCD of 684, 290, 128 on our page.

3. How to find GCD of 684, 290, 128 on a calculator?

You can find the GCD of 684, 290, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.