GCD of 195, 363, 140, 105 Calculator

Given Input numbers are 195, 363, 140, 105

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 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 195, 363, 140, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 363, 140, 105 is 1.

Therefore, GCD of numbers 195, 363, 140, 105 is 1

Given Input Data is 195, 363, 140, 105

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 363 is 3 x 11 x 11

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 105 is 3 x 5 x 7

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, 363) = 23595

GCD(195, 363) = ( 195 x 363 ) / 23595

GCD(195, 363) = 70785 / 23595

GCD(195, 363) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 140

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

LCM(3, 140) = 420

GCD(3, 140) = ( 3 x 140 ) / 420

GCD(3, 140) = 420 / 420

GCD(3, 140) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 195, 363, 140, 105 is 1

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1. What is the GCD of 195, 363, 140, 105?

GCD of 195, 363, 140, 105 is 1

2. Where do I get the detailed procedure to find GCD of 195, 363, 140, 105?

You can find a detailed procedure to find GCD of 195, 363, 140, 105 on our page.

3. How to find GCD of 195, 363, 140, 105 on a calculator?

You can find the GCD of 195, 363, 140, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.