GCD of 139, 153, 38, 299 Calculator

Given Input numbers are 139, 153, 38, 299

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 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Greatest Common Divisior

We found the divisors of 139, 153, 38, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 139, 153, 38, 299 is 1.

Therefore, GCD of numbers 139, 153, 38, 299 is 1

Given Input Data is 139, 153, 38, 299

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

Prime Factorization of 139 is 139

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 38 is 2 x 19

Prime Factorization of 299 is 13 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(139, 153) = 21267

GCD(139, 153) = ( 139 x 153 ) / 21267

GCD(139, 153) = 21267 / 21267

GCD(139, 153) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 299

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

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

GCD(1, 299) = 299 / 299

GCD(1, 299) = 1

GCD of 139, 153, 38, 299 is 1

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1. What is the GCD of 139, 153, 38, 299?

GCD of 139, 153, 38, 299 is 1

2. Where do I get the detailed procedure to find GCD of 139, 153, 38, 299?

You can find a detailed procedure to find GCD of 139, 153, 38, 299 on our page.

3. How to find GCD of 139, 153, 38, 299 on a calculator?

You can find the GCD of 139, 153, 38, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.