GCD of 129, 990, 51, 986 Calculator

Given Input numbers are 129, 990, 51, 986

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

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 129, 990, 51, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 129, 990, 51, 986 is 1.

Therefore, GCD of numbers 129, 990, 51, 986 is 1

Given Input Data is 129, 990, 51, 986

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

Prime Factorization of 129 is 3 x 43

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 51 is 3 x 17

Prime Factorization of 986 is 2 x 17 x 29

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(129, 990) = 42570

GCD(129, 990) = ( 129 x 990 ) / 42570

GCD(129, 990) = 127710 / 42570

GCD(129, 990) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 51

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

LCM(3, 51) = 51

GCD(3, 51) = ( 3 x 51 ) / 51

GCD(3, 51) = 153 / 51

GCD(3, 51) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 986

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

LCM(3, 986) = 2958

GCD(3, 986) = ( 3 x 986 ) / 2958

GCD(3, 986) = 2958 / 2958

GCD(3, 986) = 1

GCD of 129, 990, 51, 986 is 1

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• GCD of 171, 143, 80, 913
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1. What is the GCD of 129, 990, 51, 986?

GCD of 129, 990, 51, 986 is 1

2. Where do I get the detailed procedure to find GCD of 129, 990, 51, 986?

You can find a detailed procedure to find GCD of 129, 990, 51, 986 on our page.

3. How to find GCD of 129, 990, 51, 986 on a calculator?

You can find the GCD of 129, 990, 51, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.