GCD of 139, 529, 312, 295 Calculator

Given Input numbers are 139, 529, 312, 295

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 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Greatest Common Divisior

We found the divisors of 139, 529, 312, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 139, 529, 312, 295 is 1.

Therefore, GCD of numbers 139, 529, 312, 295 is 1

Given Input Data is 139, 529, 312, 295

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

Prime Factorization of 139 is 139

Prime Factorization of 529 is 23 x 23

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 295 is 5 x 59

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, 529) = 73531

GCD(139, 529) = ( 139 x 529 ) / 73531

GCD(139, 529) = 73531 / 73531

GCD(139, 529) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 295

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

LCM(1, 295) = 295

GCD(1, 295) = ( 1 x 295 ) / 295

GCD(1, 295) = 295 / 295

GCD(1, 295) = 1

GCD of 139, 529, 312, 295 is 1

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1. What is the GCD of 139, 529, 312, 295?

GCD of 139, 529, 312, 295 is 1

2. Where do I get the detailed procedure to find GCD of 139, 529, 312, 295?

You can find a detailed procedure to find GCD of 139, 529, 312, 295 on our page.

3. How to find GCD of 139, 529, 312, 295 on a calculator?

You can find the GCD of 139, 529, 312, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.