GCD of 918, 212, 852, 819 Calculator

Given Input numbers are 918, 212, 852, 819

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

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

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 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Greatest Common Divisior

We found the divisors of 918, 212, 852, 819 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 212, 852, 819 is 1.

Therefore, GCD of numbers 918, 212, 852, 819 is 1

Given Input Data is 918, 212, 852, 819

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 212 is 2 x 2 x 53

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

Prime Factorization of 819 is 3 x 3 x 7 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(918, 212) = 97308

GCD(918, 212) = ( 918 x 212 ) / 97308

GCD(918, 212) = 194616 / 97308

GCD(918, 212) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 852

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

LCM(2, 852) = 852

GCD(2, 852) = ( 2 x 852 ) / 852

GCD(2, 852) = 1704 / 852

GCD(2, 852) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 819

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

LCM(2, 819) = 1638

GCD(2, 819) = ( 2 x 819 ) / 1638

GCD(2, 819) = 1638 / 1638

GCD(2, 819) = 1

GCD of 918, 212, 852, 819 is 1

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1. What is the GCD of 918, 212, 852, 819?

GCD of 918, 212, 852, 819 is 1

2. Where do I get the detailed procedure to find GCD of 918, 212, 852, 819?

You can find a detailed procedure to find GCD of 918, 212, 852, 819 on our page.

3. How to find GCD of 918, 212, 852, 819 on a calculator?

You can find the GCD of 918, 212, 852, 819 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.