GCD of 139, 342, 13, 800 Calculator

Given Input numbers are 139, 342, 13, 800

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

Divisors of 139

List of positive integer divisors of 139 that divides 139 without a remainder.

1, 139

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 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Greatest Common Divisior

We found the divisors of 139, 342, 13, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 139, 342, 13, 800 is 1.

Therefore, GCD of numbers 139, 342, 13, 800 is 1

Given Input Data is 139, 342, 13, 800

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

Prime Factorization of 139 is 139

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

Prime Factorization of 13 is 13

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

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(139, 342) = 47538

GCD(139, 342) = ( 139 x 342 ) / 47538

GCD(139, 342) = 47538 / 47538

GCD(139, 342) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

GCD of 139, 342, 13, 800 is 1

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1. What is the GCD of 139, 342, 13, 800?

GCD of 139, 342, 13, 800 is 1

2. Where do I get the detailed procedure to find GCD of 139, 342, 13, 800?

You can find a detailed procedure to find GCD of 139, 342, 13, 800 on our page.

3. How to find GCD of 139, 342, 13, 800 on a calculator?

You can find the GCD of 139, 342, 13, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.