GCD of 39, 145, 618, 300 Calculator

Given Input numbers are 39, 145, 618, 300

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

Divisors of 39

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

1, 3, 13, 39

Divisors of 145

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

1, 5, 29, 145

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Greatest Common Divisior

We found the divisors of 39, 145, 618, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 145, 618, 300 is 1.

Therefore, GCD of numbers 39, 145, 618, 300 is 1

Given Input Data is 39, 145, 618, 300

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 145 is 5 x 29

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

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(39, 145) = 5655

GCD(39, 145) = ( 39 x 145 ) / 5655

GCD(39, 145) = 5655 / 5655

GCD(39, 145) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 618

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

LCM(1, 618) = 618

GCD(1, 618) = ( 1 x 618 ) / 618

GCD(1, 618) = 618 / 618

GCD(1, 618) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

GCD of 39, 145, 618, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 27, 959, 649, 582
• GCD of 27, 873, 561, 900
• GCD of 15, 382, 154, 742
• GCD of 11, 370, 138, 300
• GCD of 52, 118, 621, 432

1. What is the GCD of 39, 145, 618, 300?

GCD of 39, 145, 618, 300 is 1

2. Where do I get the detailed procedure to find GCD of 39, 145, 618, 300?

You can find a detailed procedure to find GCD of 39, 145, 618, 300 on our page.

3. How to find GCD of 39, 145, 618, 300 on a calculator?

You can find the GCD of 39, 145, 618, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.