GCD of 529, 309, 534, 131 Calculator

Given Input numbers are 529, 309, 534, 131

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

Divisors of 529

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

1, 23, 529

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Greatest Common Divisior

We found the divisors of 529, 309, 534, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 529, 309, 534, 131 is 1.

Therefore, GCD of numbers 529, 309, 534, 131 is 1

Given Input Data is 529, 309, 534, 131

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

Prime Factorization of 529 is 23 x 23

Prime Factorization of 309 is 3 x 103

Prime Factorization of 534 is 2 x 3 x 89

Prime Factorization of 131 is 131

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(529, 309) = 163461

GCD(529, 309) = ( 529 x 309 ) / 163461

GCD(529, 309) = 163461 / 163461

GCD(529, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 534

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

LCM(1, 534) = 534

GCD(1, 534) = ( 1 x 534 ) / 534

GCD(1, 534) = 534 / 534

GCD(1, 534) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 131

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

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

GCD(1, 131) = 131 / 131

GCD(1, 131) = 1

GCD of 529, 309, 534, 131 is 1

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1. What is the GCD of 529, 309, 534, 131?

GCD of 529, 309, 534, 131 is 1

2. Where do I get the detailed procedure to find GCD of 529, 309, 534, 131?

You can find a detailed procedure to find GCD of 529, 309, 534, 131 on our page.

3. How to find GCD of 529, 309, 534, 131 on a calculator?

You can find the GCD of 529, 309, 534, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.