GCD of 474, 309, 19, 195 Calculator

Given Input numbers are 474, 309, 19, 195

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Greatest Common Divisior

We found the divisors of 474, 309, 19, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 309, 19, 195 is 1.

Therefore, GCD of numbers 474, 309, 19, 195 is 1

Given Input Data is 474, 309, 19, 195

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 309 is 3 x 103

Prime Factorization of 19 is 19

Prime Factorization of 195 is 3 x 5 x 13

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(474, 309) = 48822

GCD(474, 309) = ( 474 x 309 ) / 48822

GCD(474, 309) = 146466 / 48822

GCD(474, 309) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 19

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

LCM(3, 19) = 57

GCD(3, 19) = ( 3 x 19 ) / 57

GCD(3, 19) = 57 / 57

GCD(3, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 195

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

LCM(1, 195) = 195

GCD(1, 195) = ( 1 x 195 ) / 195

GCD(1, 195) = 195 / 195

GCD(1, 195) = 1

GCD of 474, 309, 19, 195 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 236, 278, 11, 714
• GCD of 826, 543, 58, 692
• GCD of 236, 320, 16, 167
• GCD of 561, 200, 51, 445
• GCD of 695, 114, 12, 127

1. What is the GCD of 474, 309, 19, 195?

GCD of 474, 309, 19, 195 is 1

2. Where do I get the detailed procedure to find GCD of 474, 309, 19, 195?

You can find a detailed procedure to find GCD of 474, 309, 19, 195 on our page.

3. How to find GCD of 474, 309, 19, 195 on a calculator?

You can find the GCD of 474, 309, 19, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.