GCD of 473, 195, 86, 312 Calculator

Given Input numbers are 473, 195, 86, 312

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

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

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 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 473, 195, 86, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 473, 195, 86, 312 is 1.

Therefore, GCD of numbers 473, 195, 86, 312 is 1

Given Input Data is 473, 195, 86, 312

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

Prime Factorization of 473 is 11 x 43

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 86 is 2 x 43

Prime Factorization of 312 is 2 x 2 x 2 x 3 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(473, 195) = 92235

GCD(473, 195) = ( 473 x 195 ) / 92235

GCD(473, 195) = 92235 / 92235

GCD(473, 195) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 86

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

LCM(1, 86) = 86

GCD(1, 86) = ( 1 x 86 ) / 86

GCD(1, 86) = 86 / 86

GCD(1, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 473, 195, 86, 312 is 1

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1. What is the GCD of 473, 195, 86, 312?

GCD of 473, 195, 86, 312 is 1

2. Where do I get the detailed procedure to find GCD of 473, 195, 86, 312?

You can find a detailed procedure to find GCD of 473, 195, 86, 312 on our page.

3. How to find GCD of 473, 195, 86, 312 on a calculator?

You can find the GCD of 473, 195, 86, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.