GCD of 306, 907, 927, 369 Calculator

Given Input numbers are 306, 907, 927, 369

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

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 907

List of positive integer divisors of 907 that divides 907 without a remainder.

1, 907

Divisors of 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 306, 907, 927, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 907, 927, 369 is 1.

Therefore, GCD of numbers 306, 907, 927, 369 is 1

Given Input Data is 306, 907, 927, 369

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

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 907 is 907

Prime Factorization of 927 is 3 x 3 x 103

Prime Factorization of 369 is 3 x 3 x 41

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(306, 907) = 277542

GCD(306, 907) = ( 306 x 907 ) / 277542

GCD(306, 907) = 277542 / 277542

GCD(306, 907) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 927

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

LCM(1, 927) = 927

GCD(1, 927) = ( 1 x 927 ) / 927

GCD(1, 927) = 927 / 927

GCD(1, 927) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

GCD of 306, 907, 927, 369 is 1

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1. What is the GCD of 306, 907, 927, 369?

GCD of 306, 907, 927, 369 is 1

2. Where do I get the detailed procedure to find GCD of 306, 907, 927, 369?

You can find a detailed procedure to find GCD of 306, 907, 927, 369 on our page.

3. How to find GCD of 306, 907, 927, 369 on a calculator?

You can find the GCD of 306, 907, 927, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.