GCD of 490, 180, 788 Calculator

Given Input numbers are 490, 180, 788

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

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Greatest Common Divisior

We found the divisors of 490, 180, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 180, 788 is 2.

Therefore, GCD of numbers 490, 180, 788 is 2

Given Input Data is 490, 180, 788

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

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 788 is 2 x 2 x 197

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(490, 180) = 8820

GCD(490, 180) = ( 490 x 180 ) / 8820

GCD(490, 180) = 88200 / 8820

GCD(490, 180) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 788

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

LCM(10, 788) = 3940

GCD(10, 788) = ( 10 x 788 ) / 3940

GCD(10, 788) = 7880 / 3940

GCD(10, 788) = 2

GCD of 490, 180, 788 is 2

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1. What is the GCD of 490, 180, 788?

GCD of 490, 180, 788 is 2

2. Where do I get the detailed procedure to find GCD of 490, 180, 788?

You can find a detailed procedure to find GCD of 490, 180, 788 on our page.

3. How to find GCD of 490, 180, 788 on a calculator?

You can find the GCD of 490, 180, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.