GCD of 306, 623, 131 Calculator

Given Input numbers are 306, 623, 131

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

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

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 306, 623, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 623, 131 is 1.

Therefore, GCD of numbers 306, 623, 131 is 1

Given Input Data is 306, 623, 131

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

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 623 is 7 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(306, 623) = 190638

GCD(306, 623) = ( 306 x 623 ) / 190638

GCD(306, 623) = 190638 / 190638

GCD(306, 623) = 1

Step2:

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 306, 623, 131 is 1

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1. What is the GCD of 306, 623, 131?

GCD of 306, 623, 131 is 1

2. Where do I get the detailed procedure to find GCD of 306, 623, 131?

You can find a detailed procedure to find GCD of 306, 623, 131 on our page.

3. How to find GCD of 306, 623, 131 on a calculator?

You can find the GCD of 306, 623, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.