GCD of 138, 446, 349, 138 Calculator

Given Input numbers are 138, 446, 349, 138

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 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

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 138, 446, 349, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 446, 349, 138 is 1.

Therefore, GCD of numbers 138, 446, 349, 138 is 1

Given Input Data is 138, 446, 349, 138

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 446 is 2 x 223

Prime Factorization of 349 is 349

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(138, 446) = 30774

GCD(138, 446) = ( 138 x 446 ) / 30774

GCD(138, 446) = 61548 / 30774

GCD(138, 446) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 349

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

LCM(2, 349) = 698

GCD(2, 349) = ( 2 x 349 ) / 698

GCD(2, 349) = 698 / 698

GCD(2, 349) = 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 138, 446, 349, 138 is 1

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1. What is the GCD of 138, 446, 349, 138?

GCD of 138, 446, 349, 138 is 1

2. Where do I get the detailed procedure to find GCD of 138, 446, 349, 138?

You can find a detailed procedure to find GCD of 138, 446, 349, 138 on our page.

3. How to find GCD of 138, 446, 349, 138 on a calculator?

You can find the GCD of 138, 446, 349, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.