GCD of 336, 684, 80, 255 Calculator

Given Input numbers are 336, 684, 80, 255

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

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

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 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Greatest Common Divisior

We found the divisors of 336, 684, 80, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 684, 80, 255 is 1.

Therefore, GCD of numbers 336, 684, 80, 255 is 1

Given Input Data is 336, 684, 80, 255

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

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

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

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 255 is 3 x 5 x 17

The above numbers do not have any common prime factor. So GCD is 1

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(336, 684) = 19152

GCD(336, 684) = ( 336 x 684 ) / 19152

GCD(336, 684) = 229824 / 19152

GCD(336, 684) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 80

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

LCM(12, 80) = 240

GCD(12, 80) = ( 12 x 80 ) / 240

GCD(12, 80) = 960 / 240

GCD(12, 80) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 255

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

LCM(4, 255) = 1020

GCD(4, 255) = ( 4 x 255 ) / 1020

GCD(4, 255) = 1020 / 1020

GCD(4, 255) = 1

GCD of 336, 684, 80, 255 is 1

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1. What is the GCD of 336, 684, 80, 255?

GCD of 336, 684, 80, 255 is 1

2. Where do I get the detailed procedure to find GCD of 336, 684, 80, 255?

You can find a detailed procedure to find GCD of 336, 684, 80, 255 on our page.

3. How to find GCD of 336, 684, 80, 255 on a calculator?

You can find the GCD of 336, 684, 80, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.