GCD of 896, 239, 788, 138 Calculator

Given Input numbers are 896, 239, 788, 138

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

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 239

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

1, 239

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 896, 239, 788, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 239, 788, 138 is 1.

Therefore, GCD of numbers 896, 239, 788, 138 is 1

Given Input Data is 896, 239, 788, 138

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

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 239 is 239

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 138 is 2 x 3 x 23

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(896, 239) = 214144

GCD(896, 239) = ( 896 x 239 ) / 214144

GCD(896, 239) = 214144 / 214144

GCD(896, 239) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 788

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

LCM(1, 788) = 788

GCD(1, 788) = ( 1 x 788 ) / 788

GCD(1, 788) = 788 / 788

GCD(1, 788) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 896, 239, 788, 138 is 1

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1. What is the GCD of 896, 239, 788, 138?

GCD of 896, 239, 788, 138 is 1

2. Where do I get the detailed procedure to find GCD of 896, 239, 788, 138?

You can find a detailed procedure to find GCD of 896, 239, 788, 138 on our page.

3. How to find GCD of 896, 239, 788, 138 on a calculator?

You can find the GCD of 896, 239, 788, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.