GCD of 195, 105, 20, 661 Calculator

Given Input numbers are 195, 105, 20, 661

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 105

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

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Greatest Common Divisior

We found the divisors of 195, 105, 20, 661 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 105, 20, 661 is 1.

Therefore, GCD of numbers 195, 105, 20, 661 is 1

Given Input Data is 195, 105, 20, 661

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 105 is 3 x 5 x 7

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 661 is 661

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, 105) = 1365

GCD(195, 105) = ( 195 x 105 ) / 1365

GCD(195, 105) = 20475 / 1365

GCD(195, 105) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 20

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

LCM(15, 20) = 60

GCD(15, 20) = ( 15 x 20 ) / 60

GCD(15, 20) = 300 / 60

GCD(15, 20) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 661

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

LCM(5, 661) = 3305

GCD(5, 661) = ( 5 x 661 ) / 3305

GCD(5, 661) = 3305 / 3305

GCD(5, 661) = 1

GCD of 195, 105, 20, 661 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 124, 833, 46, 740
• GCD of 880, 317, 98, 243
• GCD of 450, 364, 24, 602
• GCD of 389, 521, 68, 479
• GCD of 746, 376, 54, 575

1. What is the GCD of 195, 105, 20, 661?

GCD of 195, 105, 20, 661 is 1

2. Where do I get the detailed procedure to find GCD of 195, 105, 20, 661?

You can find a detailed procedure to find GCD of 195, 105, 20, 661 on our page.

3. How to find GCD of 195, 105, 20, 661 on a calculator?

You can find the GCD of 195, 105, 20, 661 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.