GCD of 129, 771, 84, 113 Calculator

Given Input numbers are 129, 771, 84, 113

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 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Greatest Common Divisior

We found the divisors of 129, 771, 84, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 129, 771, 84, 113 is 1.

Therefore, GCD of numbers 129, 771, 84, 113 is 1

Given Input Data is 129, 771, 84, 113

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

Prime Factorization of 129 is 3 x 43

Prime Factorization of 771 is 3 x 257

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 113 is 113

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, 771) = 33153

GCD(129, 771) = ( 129 x 771 ) / 33153

GCD(129, 771) = 99459 / 33153

GCD(129, 771) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 84

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

LCM(3, 84) = 84

GCD(3, 84) = ( 3 x 84 ) / 84

GCD(3, 84) = 252 / 84

GCD(3, 84) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 113

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

LCM(3, 113) = 339

GCD(3, 113) = ( 3 x 113 ) / 339

GCD(3, 113) = 339 / 339

GCD(3, 113) = 1

GCD of 129, 771, 84, 113 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 315, 963, 16, 809
• GCD of 913, 247, 58, 337
• GCD of 941, 937, 33, 842
• GCD of 638, 613, 30, 742
• GCD of 862, 143, 78, 930

1. What is the GCD of 129, 771, 84, 113?

GCD of 129, 771, 84, 113 is 1

2. Where do I get the detailed procedure to find GCD of 129, 771, 84, 113?

You can find a detailed procedure to find GCD of 129, 771, 84, 113 on our page.

3. How to find GCD of 129, 771, 84, 113 on a calculator?

You can find the GCD of 129, 771, 84, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.