GCD of 361, 147, 390, 912 Calculator

Given Input numbers are 361, 147, 390, 912

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

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

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

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

Greatest Common Divisior

We found the divisors of 361, 147, 390, 912 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 147, 390, 912 is 1.

Therefore, GCD of numbers 361, 147, 390, 912 is 1

Given Input Data is 361, 147, 390, 912

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 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(361, 147) = 53067

GCD(361, 147) = ( 361 x 147 ) / 53067

GCD(361, 147) = 53067 / 53067

GCD(361, 147) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 912

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

LCM(1, 912) = 912

GCD(1, 912) = ( 1 x 912 ) / 912

GCD(1, 912) = 912 / 912

GCD(1, 912) = 1

GCD of 361, 147, 390, 912 is 1

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1. What is the GCD of 361, 147, 390, 912?

GCD of 361, 147, 390, 912 is 1

2. Where do I get the detailed procedure to find GCD of 361, 147, 390, 912?

You can find a detailed procedure to find GCD of 361, 147, 390, 912 on our page.

3. How to find GCD of 361, 147, 390, 912 on a calculator?

You can find the GCD of 361, 147, 390, 912 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.