GCD of 464, 396, 912, 305 Calculator

Given Input numbers are 464, 396, 912, 305

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

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

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

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Greatest Common Divisior

We found the divisors of 464, 396, 912, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 396, 912, 305 is 1.

Therefore, GCD of numbers 464, 396, 912, 305 is 1

Given Input Data is 464, 396, 912, 305

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

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 305 is 5 x 61

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(464, 396) = 45936

GCD(464, 396) = ( 464 x 396 ) / 45936

GCD(464, 396) = 183744 / 45936

GCD(464, 396) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 912

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

LCM(4, 912) = 912

GCD(4, 912) = ( 4 x 912 ) / 912

GCD(4, 912) = 3648 / 912

GCD(4, 912) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 305

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

LCM(4, 305) = 1220

GCD(4, 305) = ( 4 x 305 ) / 1220

GCD(4, 305) = 1220 / 1220

GCD(4, 305) = 1

GCD of 464, 396, 912, 305 is 1

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1. What is the GCD of 464, 396, 912, 305?

GCD of 464, 396, 912, 305 is 1

2. Where do I get the detailed procedure to find GCD of 464, 396, 912, 305?

You can find a detailed procedure to find GCD of 464, 396, 912, 305 on our page.

3. How to find GCD of 464, 396, 912, 305 on a calculator?

You can find the GCD of 464, 396, 912, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.