GCD of 981, 512, 13, 122 Calculator

Given Input numbers are 981, 512, 13, 122

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 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Greatest Common Divisior

We found the divisors of 981, 512, 13, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 981, 512, 13, 122 is 1.

Therefore, GCD of numbers 981, 512, 13, 122 is 1

Given Input Data is 981, 512, 13, 122

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 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 13 is 13

Prime Factorization of 122 is 2 x 61

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, 512) = 502272

GCD(981, 512) = ( 981 x 512 ) / 502272

GCD(981, 512) = 502272 / 502272

GCD(981, 512) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 122

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

LCM(1, 122) = 122

GCD(1, 122) = ( 1 x 122 ) / 122

GCD(1, 122) = 122 / 122

GCD(1, 122) = 1

GCD of 981, 512, 13, 122 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 765, 321, 96, 760
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• GCD of 285, 185, 33, 128
• GCD of 202, 758, 51, 741
• GCD of 423, 479, 31, 319

1. What is the GCD of 981, 512, 13, 122?

GCD of 981, 512, 13, 122 is 1

2. Where do I get the detailed procedure to find GCD of 981, 512, 13, 122?

You can find a detailed procedure to find GCD of 981, 512, 13, 122 on our page.

3. How to find GCD of 981, 512, 13, 122 on a calculator?

You can find the GCD of 981, 512, 13, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.