GCD of 249, 669, 99, 988 Calculator

Given Input numbers are 249, 669, 99, 988

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

Divisors of 249

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

1, 3, 83, 249

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

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

Greatest Common Divisior

We found the divisors of 249, 669, 99, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 669, 99, 988 is 1.

Therefore, GCD of numbers 249, 669, 99, 988 is 1

Given Input Data is 249, 669, 99, 988

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

Prime Factorization of 249 is 3 x 83

Prime Factorization of 669 is 3 x 223

Prime Factorization of 99 is 3 x 3 x 11

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

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(249, 669) = 55527

GCD(249, 669) = ( 249 x 669 ) / 55527

GCD(249, 669) = 166581 / 55527

GCD(249, 669) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 99

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

LCM(3, 99) = 99

GCD(3, 99) = ( 3 x 99 ) / 99

GCD(3, 99) = 297 / 99

GCD(3, 99) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 988

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

LCM(3, 988) = 2964

GCD(3, 988) = ( 3 x 988 ) / 2964

GCD(3, 988) = 2964 / 2964

GCD(3, 988) = 1

GCD of 249, 669, 99, 988 is 1

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1. What is the GCD of 249, 669, 99, 988?

GCD of 249, 669, 99, 988 is 1

2. Where do I get the detailed procedure to find GCD of 249, 669, 99, 988?

You can find a detailed procedure to find GCD of 249, 669, 99, 988 on our page.

3. How to find GCD of 249, 669, 99, 988 on a calculator?

You can find the GCD of 249, 669, 99, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.