GCD of 896, 446, 220, 309 Calculator

Given Input numbers are 896, 446, 220, 309

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

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

Divisors of 446

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

1, 2, 223, 446

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 309

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

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 896, 446, 220, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 446, 220, 309 is 1.

Therefore, GCD of numbers 896, 446, 220, 309 is 1

Given Input Data is 896, 446, 220, 309

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

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 309 is 3 x 103

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(896, 446) = 199808

GCD(896, 446) = ( 896 x 446 ) / 199808

GCD(896, 446) = 399616 / 199808

GCD(896, 446) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 220

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

LCM(2, 220) = 220

GCD(2, 220) = ( 2 x 220 ) / 220

GCD(2, 220) = 440 / 220

GCD(2, 220) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 309

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

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

GCD(2, 309) = 618 / 618

GCD(2, 309) = 1

GCD of 896, 446, 220, 309 is 1

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1. What is the GCD of 896, 446, 220, 309?

GCD of 896, 446, 220, 309 is 1

2. Where do I get the detailed procedure to find GCD of 896, 446, 220, 309?

You can find a detailed procedure to find GCD of 896, 446, 220, 309 on our page.

3. How to find GCD of 896, 446, 220, 309 on a calculator?

You can find the GCD of 896, 446, 220, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.