GCD of 912, 446, 45, 264 Calculator

Given Input numbers are 912, 446, 45, 264

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

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 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 912, 446, 45, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 912, 446, 45, 264 is 1.

Therefore, GCD of numbers 912, 446, 45, 264 is 1

Given Input Data is 912, 446, 45, 264

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

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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(912, 446) = 203376

GCD(912, 446) = ( 912 x 446 ) / 203376

GCD(912, 446) = 406752 / 203376

GCD(912, 446) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

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

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1

GCD of 912, 446, 45, 264 is 1

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• GCD of 113, 735, 96, 267
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• GCD of 510, 778, 55, 230

1. What is the GCD of 912, 446, 45, 264?

GCD of 912, 446, 45, 264 is 1

2. Where do I get the detailed procedure to find GCD of 912, 446, 45, 264?

You can find a detailed procedure to find GCD of 912, 446, 45, 264 on our page.

3. How to find GCD of 912, 446, 45, 264 on a calculator?

You can find the GCD of 912, 446, 45, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.