GCD of 138, 716, 387, 768 Calculator

Given Input numbers are 138, 716, 387, 768

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

Divisors of 138

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

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

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

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

Greatest Common Divisior

We found the divisors of 138, 716, 387, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 716, 387, 768 is 1.

Therefore, GCD of numbers 138, 716, 387, 768 is 1

Given Input Data is 138, 716, 387, 768

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 768 is 2 x 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(138, 716) = 49404

GCD(138, 716) = ( 138 x 716 ) / 49404

GCD(138, 716) = 98808 / 49404

GCD(138, 716) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 387

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

LCM(2, 387) = 774

GCD(2, 387) = ( 2 x 387 ) / 774

GCD(2, 387) = 774 / 774

GCD(2, 387) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 768

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

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

GCD(1, 768) = 768 / 768

GCD(1, 768) = 1

GCD of 138, 716, 387, 768 is 1

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1. What is the GCD of 138, 716, 387, 768?

GCD of 138, 716, 387, 768 is 1

2. Where do I get the detailed procedure to find GCD of 138, 716, 387, 768?

You can find a detailed procedure to find GCD of 138, 716, 387, 768 on our page.

3. How to find GCD of 138, 716, 387, 768 on a calculator?

You can find the GCD of 138, 716, 387, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.