GCD of 978, 232, 16, 444 Calculator

Given Input numbers are 978, 232, 16, 444

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

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 232

List of positive integer divisors of 232 that divides 232 without a remainder.

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Greatest Common Divisior

We found the divisors of 978, 232, 16, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 232, 16, 444 is 2.

Therefore, GCD of numbers 978, 232, 16, 444 is 2

Given Input Data is 978, 232, 16, 444

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

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 444 is 2 x 2 x 3 x 37

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(978, 232) = 113448

GCD(978, 232) = ( 978 x 232 ) / 113448

GCD(978, 232) = 226896 / 113448

GCD(978, 232) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 444

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

LCM(2, 444) = 444

GCD(2, 444) = ( 2 x 444 ) / 444

GCD(2, 444) = 888 / 444

GCD(2, 444) = 2

GCD of 978, 232, 16, 444 is 2

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1. What is the GCD of 978, 232, 16, 444?

GCD of 978, 232, 16, 444 is 2

2. Where do I get the detailed procedure to find GCD of 978, 232, 16, 444?

You can find a detailed procedure to find GCD of 978, 232, 16, 444 on our page.

3. How to find GCD of 978, 232, 16, 444 on a calculator?

You can find the GCD of 978, 232, 16, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.