GCD of 234, 307, 122, 812 Calculator

Given Input numbers are 234, 307, 122, 812

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

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

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 234, 307, 122, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 307, 122, 812 is 1.

Therefore, GCD of numbers 234, 307, 122, 812 is 1

Given Input Data is 234, 307, 122, 812

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

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 307 is 307

Prime Factorization of 122 is 2 x 61

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(234, 307) = 71838

GCD(234, 307) = ( 234 x 307 ) / 71838

GCD(234, 307) = 71838 / 71838

GCD(234, 307) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 122

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

LCM(1, 122) = 122

GCD(1, 122) = ( 1 x 122 ) / 122

GCD(1, 122) = 122 / 122

GCD(1, 122) = 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 234, 307, 122, 812 is 1

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1. What is the GCD of 234, 307, 122, 812?

GCD of 234, 307, 122, 812 is 1

2. Where do I get the detailed procedure to find GCD of 234, 307, 122, 812?

You can find a detailed procedure to find GCD of 234, 307, 122, 812 on our page.

3. How to find GCD of 234, 307, 122, 812 on a calculator?

You can find the GCD of 234, 307, 122, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.