GCD of 10, 185, 393, 300 Calculator

Given Input numbers are 10, 185, 393, 300

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

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 10, 185, 393, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 185, 393, 300 is 1.

Therefore, GCD of numbers 10, 185, 393, 300 is 1

Given Input Data is 10, 185, 393, 300

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 185 is 5 x 37

Prime Factorization of 393 is 3 x 131

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(10, 185) = 370

GCD(10, 185) = ( 10 x 185 ) / 370

GCD(10, 185) = 1850 / 370

GCD(10, 185) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 393

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

LCM(5, 393) = 1965

GCD(5, 393) = ( 5 x 393 ) / 1965

GCD(5, 393) = 1965 / 1965

GCD(5, 393) = 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 10, 185, 393, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 87, 303, 179, 201
• GCD of 64, 159, 618, 289
• GCD of 87, 573, 383, 608
• GCD of 70, 705, 546, 200
• GCD of 89, 494, 306, 815

1. What is the GCD of 10, 185, 393, 300?

GCD of 10, 185, 393, 300 is 1

2. Where do I get the detailed procedure to find GCD of 10, 185, 393, 300?

You can find a detailed procedure to find GCD of 10, 185, 393, 300 on our page.

3. How to find GCD of 10, 185, 393, 300 on a calculator?

You can find the GCD of 10, 185, 393, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.