GCD of 919, 258, 988, 249 Calculator

Given Input numbers are 919, 258, 988, 249

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

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

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 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 919, 258, 988, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 919, 258, 988, 249 is 1.

Therefore, GCD of numbers 919, 258, 988, 249 is 1

Given Input Data is 919, 258, 988, 249

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

Prime Factorization of 919 is 919

Prime Factorization of 258 is 2 x 3 x 43

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

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(919, 258) = 237102

GCD(919, 258) = ( 919 x 258 ) / 237102

GCD(919, 258) = 237102 / 237102

GCD(919, 258) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 988

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

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

GCD(1, 988) = 988 / 988

GCD(1, 988) = 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 919, 258, 988, 249 is 1

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1. What is the GCD of 919, 258, 988, 249?

GCD of 919, 258, 988, 249 is 1

2. Where do I get the detailed procedure to find GCD of 919, 258, 988, 249?

You can find a detailed procedure to find GCD of 919, 258, 988, 249 on our page.

3. How to find GCD of 919, 258, 988, 249 on a calculator?

You can find the GCD of 919, 258, 988, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.