GCD of 195, 437, 13, 270 Calculator

Given Input numbers are 195, 437, 13, 270

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 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Greatest Common Divisior

We found the divisors of 195, 437, 13, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 437, 13, 270 is 1.

Therefore, GCD of numbers 195, 437, 13, 270 is 1

Given Input Data is 195, 437, 13, 270

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 437 is 19 x 23

Prime Factorization of 13 is 13

Prime Factorization of 270 is 2 x 3 x 3 x 3 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(195, 437) = 85215

GCD(195, 437) = ( 195 x 437 ) / 85215

GCD(195, 437) = 85215 / 85215

GCD(195, 437) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 270

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

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

GCD(1, 270) = 270 / 270

GCD(1, 270) = 1

GCD of 195, 437, 13, 270 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 763, 761, 24, 161
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• GCD of 658, 525, 54, 352

1. What is the GCD of 195, 437, 13, 270?

GCD of 195, 437, 13, 270 is 1

2. Where do I get the detailed procedure to find GCD of 195, 437, 13, 270?

You can find a detailed procedure to find GCD of 195, 437, 13, 270 on our page.

3. How to find GCD of 195, 437, 13, 270 on a calculator?

You can find the GCD of 195, 437, 13, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.