GCD of 319, 339, 291, 142 Calculator

Given Input numbers are 319, 339, 291, 142

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

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 319, 339, 291, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 339, 291, 142 is 1.

Therefore, GCD of numbers 319, 339, 291, 142 is 1

Given Input Data is 319, 339, 291, 142

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

Prime Factorization of 319 is 11 x 29

Prime Factorization of 339 is 3 x 113

Prime Factorization of 291 is 3 x 97

Prime Factorization of 142 is 2 x 71

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(319, 339) = 108141

GCD(319, 339) = ( 319 x 339 ) / 108141

GCD(319, 339) = 108141 / 108141

GCD(319, 339) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 291

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

LCM(1, 291) = 291

GCD(1, 291) = ( 1 x 291 ) / 291

GCD(1, 291) = 291 / 291

GCD(1, 291) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 319, 339, 291, 142 is 1

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1. What is the GCD of 319, 339, 291, 142?

GCD of 319, 339, 291, 142 is 1

2. Where do I get the detailed procedure to find GCD of 319, 339, 291, 142?

You can find a detailed procedure to find GCD of 319, 339, 291, 142 on our page.

3. How to find GCD of 319, 339, 291, 142 on a calculator?

You can find the GCD of 319, 339, 291, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.