GCD of 100, 339, 136, 384 Calculator

Given Input numbers are 100, 339, 136, 384

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Greatest Common Divisior

We found the divisors of 100, 339, 136, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 339, 136, 384 is 1.

Therefore, GCD of numbers 100, 339, 136, 384 is 1

Given Input Data is 100, 339, 136, 384

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 339 is 3 x 113

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(100, 339) = 33900

GCD(100, 339) = ( 100 x 339 ) / 33900

GCD(100, 339) = 33900 / 33900

GCD(100, 339) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 136

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

LCM(1, 136) = 136

GCD(1, 136) = ( 1 x 136 ) / 136

GCD(1, 136) = 136 / 136

GCD(1, 136) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 384

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

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

GCD(1, 384) = 384 / 384

GCD(1, 384) = 1

GCD of 100, 339, 136, 384 is 1

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• GCD of 323, 675, 208, 652
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1. What is the GCD of 100, 339, 136, 384?

GCD of 100, 339, 136, 384 is 1

2. Where do I get the detailed procedure to find GCD of 100, 339, 136, 384?

You can find a detailed procedure to find GCD of 100, 339, 136, 384 on our page.

3. How to find GCD of 100, 339, 136, 384 on a calculator?

You can find the GCD of 100, 339, 136, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.