GCD of 195, 286, 141, 996 Calculator

Given Input numbers are 195, 286, 141, 996

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 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 195, 286, 141, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 286, 141, 996 is 1.

Therefore, GCD of numbers 195, 286, 141, 996 is 1

Given Input Data is 195, 286, 141, 996

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 286 is 2 x 11 x 13

Prime Factorization of 141 is 3 x 47

Prime Factorization of 996 is 2 x 2 x 3 x 83

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, 286) = 4290

GCD(195, 286) = ( 195 x 286 ) / 4290

GCD(195, 286) = 55770 / 4290

GCD(195, 286) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 141

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

LCM(13, 141) = 1833

GCD(13, 141) = ( 13 x 141 ) / 1833

GCD(13, 141) = 1833 / 1833

GCD(13, 141) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 996

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

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

GCD(1, 996) = 996 / 996

GCD(1, 996) = 1

GCD of 195, 286, 141, 996 is 1

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1. What is the GCD of 195, 286, 141, 996?

GCD of 195, 286, 141, 996 is 1

2. Where do I get the detailed procedure to find GCD of 195, 286, 141, 996?

You can find a detailed procedure to find GCD of 195, 286, 141, 996 on our page.

3. How to find GCD of 195, 286, 141, 996 on a calculator?

You can find the GCD of 195, 286, 141, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.