GCD of 120, 313, 50, 812 Calculator

Given Input numbers are 120, 313, 50, 812

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

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 313

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

1, 313

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

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

Greatest Common Divisior

We found the divisors of 120, 313, 50, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 313, 50, 812 is 1.

Therefore, GCD of numbers 120, 313, 50, 812 is 1

Given Input Data is 120, 313, 50, 812

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

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 313 is 313

Prime Factorization of 50 is 2 x 5 x 5

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

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(120, 313) = 37560

GCD(120, 313) = ( 120 x 313 ) / 37560

GCD(120, 313) = 37560 / 37560

GCD(120, 313) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 812

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

LCM(1, 812) = 812

GCD(1, 812) = ( 1 x 812 ) / 812

GCD(1, 812) = 812 / 812

GCD(1, 812) = 1

GCD of 120, 313, 50, 812 is 1

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• GCD of 905, 463, 67, 208
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• GCD of 229, 191, 93, 256

1. What is the GCD of 120, 313, 50, 812?

GCD of 120, 313, 50, 812 is 1

2. Where do I get the detailed procedure to find GCD of 120, 313, 50, 812?

You can find a detailed procedure to find GCD of 120, 313, 50, 812 on our page.

3. How to find GCD of 120, 313, 50, 812 on a calculator?

You can find the GCD of 120, 313, 50, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.