GCD of 195, 120, 27, 507 Calculator

Given Input numbers are 195, 120, 27, 507

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

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Greatest Common Divisior

We found the divisors of 195, 120, 27, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 120, 27, 507 is 3.

Therefore, GCD of numbers 195, 120, 27, 507 is 3

Given Input Data is 195, 120, 27, 507

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

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 507 is 3 x 13 x 13

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(195, 120) = 1560

GCD(195, 120) = ( 195 x 120 ) / 1560

GCD(195, 120) = 23400 / 1560

GCD(195, 120) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 27

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

LCM(15, 27) = 135

GCD(15, 27) = ( 15 x 27 ) / 135

GCD(15, 27) = 405 / 135

GCD(15, 27) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 507

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

LCM(3, 507) = 507

GCD(3, 507) = ( 3 x 507 ) / 507

GCD(3, 507) = 1521 / 507

GCD(3, 507) = 3

GCD of 195, 120, 27, 507 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 899, 485, 60, 364
• GCD of 808, 151, 57, 878
• GCD of 481, 206, 85, 314
• GCD of 644, 792, 57, 120
• GCD of 218, 145, 87, 511

1. What is the GCD of 195, 120, 27, 507?

GCD of 195, 120, 27, 507 is 3

2. Where do I get the detailed procedure to find GCD of 195, 120, 27, 507?

You can find a detailed procedure to find GCD of 195, 120, 27, 507 on our page.

3. How to find GCD of 195, 120, 27, 507 on a calculator?

You can find the GCD of 195, 120, 27, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.