GCD of 988, 212, 728 Calculator

Given Input numbers are 988, 212, 728

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

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 988, 212, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 212, 728 is 4.

Therefore, GCD of numbers 988, 212, 728 is 4

Given Input Data is 988, 212, 728

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

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(988, 212) = 52364

GCD(988, 212) = ( 988 x 212 ) / 52364

GCD(988, 212) = 209456 / 52364

GCD(988, 212) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 728

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

LCM(4, 728) = 728

GCD(4, 728) = ( 4 x 728 ) / 728

GCD(4, 728) = 2912 / 728

GCD(4, 728) = 4

GCD of 988, 212, 728 is 4

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1. What is the GCD of 988, 212, 728?

GCD of 988, 212, 728 is 4

2. Where do I get the detailed procedure to find GCD of 988, 212, 728?

You can find a detailed procedure to find GCD of 988, 212, 728 on our page.

3. How to find GCD of 988, 212, 728 on a calculator?

You can find the GCD of 988, 212, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.