GCD of 407, 978, 445, 912 Calculator

Given Input numbers are 407, 978, 445, 912

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

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

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 407, 978, 445, 912 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 978, 445, 912 is 1.

Therefore, GCD of numbers 407, 978, 445, 912 is 1

Given Input Data is 407, 978, 445, 912

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 445 is 5 x 89

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(407, 978) = 398046

GCD(407, 978) = ( 407 x 978 ) / 398046

GCD(407, 978) = 398046 / 398046

GCD(407, 978) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 445

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

LCM(1, 445) = 445

GCD(1, 445) = ( 1 x 445 ) / 445

GCD(1, 445) = 445 / 445

GCD(1, 445) = 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 407, 978, 445, 912 is 1

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1. What is the GCD of 407, 978, 445, 912?

GCD of 407, 978, 445, 912 is 1

2. Where do I get the detailed procedure to find GCD of 407, 978, 445, 912?

You can find a detailed procedure to find GCD of 407, 978, 445, 912 on our page.

3. How to find GCD of 407, 978, 445, 912 on a calculator?

You can find the GCD of 407, 978, 445, 912 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.