GCD of 195, 835, 16, 278 Calculator

Given Input numbers are 195, 835, 16, 278

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 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 195, 835, 16, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 835, 16, 278 is 1.

Therefore, GCD of numbers 195, 835, 16, 278 is 1

Given Input Data is 195, 835, 16, 278

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 835 is 5 x 167

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 278 is 2 x 139

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, 835) = 32565

GCD(195, 835) = ( 195 x 835 ) / 32565

GCD(195, 835) = 162825 / 32565

GCD(195, 835) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 16

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

LCM(5, 16) = 80

GCD(5, 16) = ( 5 x 16 ) / 80

GCD(5, 16) = 80 / 80

GCD(5, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

GCD of 195, 835, 16, 278 is 1

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1. What is the GCD of 195, 835, 16, 278?

GCD of 195, 835, 16, 278 is 1

2. Where do I get the detailed procedure to find GCD of 195, 835, 16, 278?

You can find a detailed procedure to find GCD of 195, 835, 16, 278 on our page.

3. How to find GCD of 195, 835, 16, 278 on a calculator?

You can find the GCD of 195, 835, 16, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.