GCD of 812, 360, 313, 475 Calculator

Given Input numbers are 812, 360, 313, 475

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

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Greatest Common Divisior

We found the divisors of 812, 360, 313, 475 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 812, 360, 313, 475 is 1.

Therefore, GCD of numbers 812, 360, 313, 475 is 1

Given Input Data is 812, 360, 313, 475

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

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 313 is 313

Prime Factorization of 475 is 5 x 5 x 19

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(812, 360) = 73080

GCD(812, 360) = ( 812 x 360 ) / 73080

GCD(812, 360) = 292320 / 73080

GCD(812, 360) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 313

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

LCM(4, 313) = 1252

GCD(4, 313) = ( 4 x 313 ) / 1252

GCD(4, 313) = 1252 / 1252

GCD(4, 313) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 475

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

LCM(1, 475) = 475

GCD(1, 475) = ( 1 x 475 ) / 475

GCD(1, 475) = 475 / 475

GCD(1, 475) = 1

GCD of 812, 360, 313, 475 is 1

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• GCD of 594, 967, 414, 137
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1. What is the GCD of 812, 360, 313, 475?

GCD of 812, 360, 313, 475 is 1

2. Where do I get the detailed procedure to find GCD of 812, 360, 313, 475?

You can find a detailed procedure to find GCD of 812, 360, 313, 475 on our page.

3. How to find GCD of 812, 360, 313, 475 on a calculator?

You can find the GCD of 812, 360, 313, 475 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.