GCD of 912, 852, 313, 969 Calculator

Given Input numbers are 912, 852, 313, 969

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

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 313

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

1, 313

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 912, 852, 313, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 912, 852, 313, 969 is 1.

Therefore, GCD of numbers 912, 852, 313, 969 is 1

Given Input Data is 912, 852, 313, 969

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

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 313 is 313

Prime Factorization of 969 is 3 x 17 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(912, 852) = 64752

GCD(912, 852) = ( 912 x 852 ) / 64752

GCD(912, 852) = 777024 / 64752

GCD(912, 852) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 313

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

LCM(12, 313) = 3756

GCD(12, 313) = ( 12 x 313 ) / 3756

GCD(12, 313) = 3756 / 3756

GCD(12, 313) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 969

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

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

GCD(1, 969) = 969 / 969

GCD(1, 969) = 1

GCD of 912, 852, 313, 969 is 1

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1. What is the GCD of 912, 852, 313, 969?

GCD of 912, 852, 313, 969 is 1

2. Where do I get the detailed procedure to find GCD of 912, 852, 313, 969?

You can find a detailed procedure to find GCD of 912, 852, 313, 969 on our page.

3. How to find GCD of 912, 852, 313, 969 on a calculator?

You can find the GCD of 912, 852, 313, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.