GCD of 978, 772, 18, 478 Calculator

Given Input numbers are 978, 772, 18, 478

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 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Greatest Common Divisior

We found the divisors of 978, 772, 18, 478 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 772, 18, 478 is 2.

Therefore, GCD of numbers 978, 772, 18, 478 is 2

Given Input Data is 978, 772, 18, 478

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 772 is 2 x 2 x 193

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 478 is 2 x 239

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, 772) = 377508

GCD(978, 772) = ( 978 x 772 ) / 377508

GCD(978, 772) = 755016 / 377508

GCD(978, 772) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 478

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

LCM(2, 478) = 478

GCD(2, 478) = ( 2 x 478 ) / 478

GCD(2, 478) = 956 / 478

GCD(2, 478) = 2

GCD of 978, 772, 18, 478 is 2

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1. What is the GCD of 978, 772, 18, 478?

GCD of 978, 772, 18, 478 is 2

2. Where do I get the detailed procedure to find GCD of 978, 772, 18, 478?

You can find a detailed procedure to find GCD of 978, 772, 18, 478 on our page.

3. How to find GCD of 978, 772, 18, 478 on a calculator?

You can find the GCD of 978, 772, 18, 478 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.