GCD of 474, 708, 16, 195 Calculator

Given Input numbers are 474, 708, 16, 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 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

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, 708, 16, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 708, 16, 195 is 1.

Therefore, GCD of numbers 474, 708, 16, 195 is 1

Given Input Data is 474, 708, 16, 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 708 is 2 x 2 x 3 x 59

Prime Factorization of 16 is 2 x 2 x 2 x 2

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, 708) = 55932

GCD(474, 708) = ( 474 x 708 ) / 55932

GCD(474, 708) = 335592 / 55932

GCD(474, 708) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 16

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

LCM(6, 16) = 48

GCD(6, 16) = ( 6 x 16 ) / 48

GCD(6, 16) = 96 / 48

GCD(6, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 195

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

LCM(2, 195) = 390

GCD(2, 195) = ( 2 x 195 ) / 390

GCD(2, 195) = 390 / 390

GCD(2, 195) = 1

GCD of 474, 708, 16, 195 is 1

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1. What is the GCD of 474, 708, 16, 195?

GCD of 474, 708, 16, 195 is 1

2. Where do I get the detailed procedure to find GCD of 474, 708, 16, 195?

You can find a detailed procedure to find GCD of 474, 708, 16, 195 on our page.

3. How to find GCD of 474, 708, 16, 195 on a calculator?

You can find the GCD of 474, 708, 16, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.