GCD of 100, 768, 239, 189 Calculator

Given Input numbers are 100, 768, 239, 189

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 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 239

List of positive integer divisors of 239 that divides 239 without a remainder.

1, 239

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Greatest Common Divisior

We found the divisors of 100, 768, 239, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 768, 239, 189 is 1.

Therefore, GCD of numbers 100, 768, 239, 189 is 1

Given Input Data is 100, 768, 239, 189

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 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 239 is 239

Prime Factorization of 189 is 3 x 3 x 3 x 7

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, 768) = 19200

GCD(100, 768) = ( 100 x 768 ) / 19200

GCD(100, 768) = 76800 / 19200

GCD(100, 768) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 239

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

LCM(4, 239) = 956

GCD(4, 239) = ( 4 x 239 ) / 956

GCD(4, 239) = 956 / 956

GCD(4, 239) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 100, 768, 239, 189 is 1

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• GCD of 567, 544, 905, 967
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1. What is the GCD of 100, 768, 239, 189?

GCD of 100, 768, 239, 189 is 1

2. Where do I get the detailed procedure to find GCD of 100, 768, 239, 189?

You can find a detailed procedure to find GCD of 100, 768, 239, 189 on our page.

3. How to find GCD of 100, 768, 239, 189 on a calculator?

You can find the GCD of 100, 768, 239, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.