GCD of 138, 387, 31, 888 Calculator

Given Input numbers are 138, 387, 31, 888

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 387

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

1, 3, 9, 43, 129, 387

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Greatest Common Divisior

We found the divisors of 138, 387, 31, 888 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 387, 31, 888 is 1.

Therefore, GCD of numbers 138, 387, 31, 888 is 1

Given Input Data is 138, 387, 31, 888

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 387 is 3 x 3 x 43

Prime Factorization of 31 is 31

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

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, 387) = 17802

GCD(138, 387) = ( 138 x 387 ) / 17802

GCD(138, 387) = 53406 / 17802

GCD(138, 387) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 31

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

LCM(3, 31) = 93

GCD(3, 31) = ( 3 x 31 ) / 93

GCD(3, 31) = 93 / 93

GCD(3, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 888

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

LCM(1, 888) = 888

GCD(1, 888) = ( 1 x 888 ) / 888

GCD(1, 888) = 888 / 888

GCD(1, 888) = 1

GCD of 138, 387, 31, 888 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 281, 505, 32, 267
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• GCD of 290, 464, 16, 438
• GCD of 927, 684, 47, 303

1. What is the GCD of 138, 387, 31, 888?

GCD of 138, 387, 31, 888 is 1

2. Where do I get the detailed procedure to find GCD of 138, 387, 31, 888?

You can find a detailed procedure to find GCD of 138, 387, 31, 888 on our page.

3. How to find GCD of 138, 387, 31, 888 on a calculator?

You can find the GCD of 138, 387, 31, 888 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.