GCD of 145, 306, 39, 567 Calculator

Given Input numbers are 145, 306, 39, 567

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

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

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 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Greatest Common Divisior

We found the divisors of 145, 306, 39, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 306, 39, 567 is 1.

Therefore, GCD of numbers 145, 306, 39, 567 is 1

Given Input Data is 145, 306, 39, 567

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

Prime Factorization of 145 is 5 x 29

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

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(145, 306) = 44370

GCD(145, 306) = ( 145 x 306 ) / 44370

GCD(145, 306) = 44370 / 44370

GCD(145, 306) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 567

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

LCM(1, 567) = 567

GCD(1, 567) = ( 1 x 567 ) / 567

GCD(1, 567) = 567 / 567

GCD(1, 567) = 1

GCD of 145, 306, 39, 567 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 361, 734, 57, 854
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• GCD of 532, 530, 22, 966

1. What is the GCD of 145, 306, 39, 567?

GCD of 145, 306, 39, 567 is 1

2. Where do I get the detailed procedure to find GCD of 145, 306, 39, 567?

You can find a detailed procedure to find GCD of 145, 306, 39, 567 on our page.

3. How to find GCD of 145, 306, 39, 567 on a calculator?

You can find the GCD of 145, 306, 39, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.