GCD of 590, 138, 52, 371 Calculator

Given Input numbers are 590, 138, 52, 371

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

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

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 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Greatest Common Divisior

We found the divisors of 590, 138, 52, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 138, 52, 371 is 1.

Therefore, GCD of numbers 590, 138, 52, 371 is 1

Given Input Data is 590, 138, 52, 371

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

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 371 is 7 x 53

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(590, 138) = 40710

GCD(590, 138) = ( 590 x 138 ) / 40710

GCD(590, 138) = 81420 / 40710

GCD(590, 138) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 52

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

LCM(2, 52) = 52

GCD(2, 52) = ( 2 x 52 ) / 52

GCD(2, 52) = 104 / 52

GCD(2, 52) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 371

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

LCM(2, 371) = 742

GCD(2, 371) = ( 2 x 371 ) / 742

GCD(2, 371) = 742 / 742

GCD(2, 371) = 1

GCD of 590, 138, 52, 371 is 1

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1. What is the GCD of 590, 138, 52, 371?

GCD of 590, 138, 52, 371 is 1

2. Where do I get the detailed procedure to find GCD of 590, 138, 52, 371?

You can find a detailed procedure to find GCD of 590, 138, 52, 371 on our page.

3. How to find GCD of 590, 138, 52, 371 on a calculator?

You can find the GCD of 590, 138, 52, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.