GCD of 996, 814, 259, 254 Calculator

Given Input numbers are 996, 814, 259, 254

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

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Greatest Common Divisior

We found the divisors of 996, 814, 259, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 814, 259, 254 is 1.

Therefore, GCD of numbers 996, 814, 259, 254 is 1

Given Input Data is 996, 814, 259, 254

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 259 is 7 x 37

Prime Factorization of 254 is 2 x 127

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(996, 814) = 405372

GCD(996, 814) = ( 996 x 814 ) / 405372

GCD(996, 814) = 810744 / 405372

GCD(996, 814) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 259

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

LCM(2, 259) = 518

GCD(2, 259) = ( 2 x 259 ) / 518

GCD(2, 259) = 518 / 518

GCD(2, 259) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 254

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

LCM(1, 254) = 254

GCD(1, 254) = ( 1 x 254 ) / 254

GCD(1, 254) = 254 / 254

GCD(1, 254) = 1

GCD of 996, 814, 259, 254 is 1

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• GCD of 604, 212, 530, 356
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1. What is the GCD of 996, 814, 259, 254?

GCD of 996, 814, 259, 254 is 1

2. Where do I get the detailed procedure to find GCD of 996, 814, 259, 254?

You can find a detailed procedure to find GCD of 996, 814, 259, 254 on our page.

3. How to find GCD of 996, 814, 259, 254 on a calculator?

You can find the GCD of 996, 814, 259, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.