GCD of 484, 978, 960, 339 Calculator

Given Input numbers are 484, 978, 960, 339

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

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

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 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Greatest Common Divisior

We found the divisors of 484, 978, 960, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 484, 978, 960, 339 is 1.

Therefore, GCD of numbers 484, 978, 960, 339 is 1

Given Input Data is 484, 978, 960, 339

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

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 339 is 3 x 113

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(484, 978) = 236676

GCD(484, 978) = ( 484 x 978 ) / 236676

GCD(484, 978) = 473352 / 236676

GCD(484, 978) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 960

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

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

GCD(2, 960) = 1920 / 960

GCD(2, 960) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 339

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

LCM(2, 339) = 678

GCD(2, 339) = ( 2 x 339 ) / 678

GCD(2, 339) = 678 / 678

GCD(2, 339) = 1

GCD of 484, 978, 960, 339 is 1

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1. What is the GCD of 484, 978, 960, 339?

GCD of 484, 978, 960, 339 is 1

2. Where do I get the detailed procedure to find GCD of 484, 978, 960, 339?

You can find a detailed procedure to find GCD of 484, 978, 960, 339 on our page.

3. How to find GCD of 484, 978, 960, 339 on a calculator?

You can find the GCD of 484, 978, 960, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.