GCD of 988, 719, 54, 249 Calculator

Given Input numbers are 988, 719, 54, 249

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 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Greatest Common Divisior

We found the divisors of 988, 719, 54, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 719, 54, 249 is 1.

Therefore, GCD of numbers 988, 719, 54, 249 is 1

Given Input Data is 988, 719, 54, 249

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 719 is 719

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 249 is 3 x 83

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(988, 719) = 710372

GCD(988, 719) = ( 988 x 719 ) / 710372

GCD(988, 719) = 710372 / 710372

GCD(988, 719) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 249

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

LCM(1, 249) = 249

GCD(1, 249) = ( 1 x 249 ) / 249

GCD(1, 249) = 249 / 249

GCD(1, 249) = 1

GCD of 988, 719, 54, 249 is 1

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1. What is the GCD of 988, 719, 54, 249?

GCD of 988, 719, 54, 249 is 1

2. Where do I get the detailed procedure to find GCD of 988, 719, 54, 249?

You can find a detailed procedure to find GCD of 988, 719, 54, 249 on our page.

3. How to find GCD of 988, 719, 54, 249 on a calculator?

You can find the GCD of 988, 719, 54, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.