GCD of 369, 266, 99, 390 Calculator

Given Input numbers are 369, 266, 99, 390

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

Divisors of 369

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

1, 3, 9, 41, 123, 369

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Greatest Common Divisior

We found the divisors of 369, 266, 99, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 266, 99, 390 is 1.

Therefore, GCD of numbers 369, 266, 99, 390 is 1

Given Input Data is 369, 266, 99, 390

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 390 is 2 x 3 x 5 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(369, 266) = 98154

GCD(369, 266) = ( 369 x 266 ) / 98154

GCD(369, 266) = 98154 / 98154

GCD(369, 266) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 390

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

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

GCD(1, 390) = 390 / 390

GCD(1, 390) = 1

GCD of 369, 266, 99, 390 is 1

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1. What is the GCD of 369, 266, 99, 390?

GCD of 369, 266, 99, 390 is 1

2. Where do I get the detailed procedure to find GCD of 369, 266, 99, 390?

You can find a detailed procedure to find GCD of 369, 266, 99, 390 on our page.

3. How to find GCD of 369, 266, 99, 390 on a calculator?

You can find the GCD of 369, 266, 99, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.