GCD of 195, 474, 396, 704 Calculator

Given Input numbers are 195, 474, 396, 704

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 474

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

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

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 195, 474, 396, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 474, 396, 704 is 1.

Therefore, GCD of numbers 195, 474, 396, 704 is 1

Given Input Data is 195, 474, 396, 704

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 474 is 2 x 3 x 79

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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, 474) = 30810

GCD(195, 474) = ( 195 x 474 ) / 30810

GCD(195, 474) = 92430 / 30810

GCD(195, 474) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 396

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

LCM(3, 396) = 396

GCD(3, 396) = ( 3 x 396 ) / 396

GCD(3, 396) = 1188 / 396

GCD(3, 396) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 704

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

LCM(3, 704) = 2112

GCD(3, 704) = ( 3 x 704 ) / 2112

GCD(3, 704) = 2112 / 2112

GCD(3, 704) = 1

GCD of 195, 474, 396, 704 is 1

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1. What is the GCD of 195, 474, 396, 704?

GCD of 195, 474, 396, 704 is 1

2. Where do I get the detailed procedure to find GCD of 195, 474, 396, 704?

You can find a detailed procedure to find GCD of 195, 474, 396, 704 on our page.

3. How to find GCD of 195, 474, 396, 704 on a calculator?

You can find the GCD of 195, 474, 396, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.