GCD of 138, 384, 342, 985 Calculator

Given Input numbers are 138, 384, 342, 985

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 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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Greatest Common Divisior

We found the divisors of 138, 384, 342, 985 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 384, 342, 985 is 1.

Therefore, GCD of numbers 138, 384, 342, 985 is 1

Given Input Data is 138, 384, 342, 985

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 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 985 is 5 x 197

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, 384) = 8832

GCD(138, 384) = ( 138 x 384 ) / 8832

GCD(138, 384) = 52992 / 8832

GCD(138, 384) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 342

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

LCM(6, 342) = 342

GCD(6, 342) = ( 6 x 342 ) / 342

GCD(6, 342) = 2052 / 342

GCD(6, 342) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 985

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

LCM(6, 985) = 5910

GCD(6, 985) = ( 6 x 985 ) / 5910

GCD(6, 985) = 5910 / 5910

GCD(6, 985) = 1

GCD of 138, 384, 342, 985 is 1

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1. What is the GCD of 138, 384, 342, 985?

GCD of 138, 384, 342, 985 is 1

2. Where do I get the detailed procedure to find GCD of 138, 384, 342, 985?

You can find a detailed procedure to find GCD of 138, 384, 342, 985 on our page.

3. How to find GCD of 138, 384, 342, 985 on a calculator?

You can find the GCD of 138, 384, 342, 985 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.