GCD of 118, 588, 480 Calculator

Given Input numbers are 118, 588, 480

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

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

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

Greatest Common Divisior

We found the divisors of 118, 588, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 588, 480 is 2.

Therefore, GCD of numbers 118, 588, 480 is 2

Given Input Data is 118, 588, 480

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

Prime Factorization of 118 is 2 x 59

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

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(118, 588) = 34692

GCD(118, 588) = ( 118 x 588 ) / 34692

GCD(118, 588) = 69384 / 34692

GCD(118, 588) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 480

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

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

GCD(2, 480) = 960 / 480

GCD(2, 480) = 2

GCD of 118, 588, 480 is 2

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1. What is the GCD of 118, 588, 480?

GCD of 118, 588, 480 is 2

2. Where do I get the detailed procedure to find GCD of 118, 588, 480?

You can find a detailed procedure to find GCD of 118, 588, 480 on our page.

3. How to find GCD of 118, 588, 480 on a calculator?

You can find the GCD of 118, 588, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.