GCD of 981, 518, 29, 243 Calculator

Given Input numbers are 981, 518, 29, 243

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

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Greatest Common Divisior

We found the divisors of 981, 518, 29, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 981, 518, 29, 243 is 1.

Therefore, GCD of numbers 981, 518, 29, 243 is 1

Given Input Data is 981, 518, 29, 243

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

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 29 is 29

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

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(981, 518) = 508158

GCD(981, 518) = ( 981 x 518 ) / 508158

GCD(981, 518) = 508158 / 508158

GCD(981, 518) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 243

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

LCM(1, 243) = 243

GCD(1, 243) = ( 1 x 243 ) / 243

GCD(1, 243) = 243 / 243

GCD(1, 243) = 1

GCD of 981, 518, 29, 243 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 554, 488, 63, 448
• GCD of 464, 320, 35, 217
• GCD of 270, 555, 45, 471
• GCD of 736, 937, 29, 796
• GCD of 327, 641, 10, 425

1. What is the GCD of 981, 518, 29, 243?

GCD of 981, 518, 29, 243 is 1

2. Where do I get the detailed procedure to find GCD of 981, 518, 29, 243?

You can find a detailed procedure to find GCD of 981, 518, 29, 243 on our page.

3. How to find GCD of 981, 518, 29, 243 on a calculator?

You can find the GCD of 981, 518, 29, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.