GCD of 309, 456, 909, 896 Calculator

Given Input numbers are 309, 456, 909, 896

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Greatest Common Divisior

We found the divisors of 309, 456, 909, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 456, 909, 896 is 1.

Therefore, GCD of numbers 309, 456, 909, 896 is 1

Given Input Data is 309, 456, 909, 896

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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(309, 456) = 46968

GCD(309, 456) = ( 309 x 456 ) / 46968

GCD(309, 456) = 140904 / 46968

GCD(309, 456) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 909

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

LCM(3, 909) = 909

GCD(3, 909) = ( 3 x 909 ) / 909

GCD(3, 909) = 2727 / 909

GCD(3, 909) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 896

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

LCM(3, 896) = 2688

GCD(3, 896) = ( 3 x 896 ) / 2688

GCD(3, 896) = 2688 / 2688

GCD(3, 896) = 1

GCD of 309, 456, 909, 896 is 1

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1. What is the GCD of 309, 456, 909, 896?

GCD of 309, 456, 909, 896 is 1

2. Where do I get the detailed procedure to find GCD of 309, 456, 909, 896?

You can find a detailed procedure to find GCD of 309, 456, 909, 896 on our page.

3. How to find GCD of 309, 456, 909, 896 on a calculator?

You can find the GCD of 309, 456, 909, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.