GCD of 813, 990, 129, 660 Calculator

Given Input numbers are 813, 990, 129, 660

In the factoring method, we have to find the divisors of all numbers

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

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 129 :

The positive integer divisors of 129 that completely divides 129 are.

1, 3, 43, 129

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

GCD of numbers is the greatest common divisor

So, the GCD (813, 990, 129, 660) = 3.

Given numbers are 813, 990, 129, 660

The list of prime factors of all numbers are

Prime factors of 813 are 3 x 271

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 129 are 3 x 43

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

The highest common occurrence is 3¹

Therefore, GCD of 813, 990, 129, 660 is 3.

Given numbers are 813, 990, 129, 660

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(813, 990) = 268290

GCD(813, 990) = ( 813 x 990 ) / 268290

= 813 / 990

= 813

Step2:

LCM(3, 129) = 129

GCD(3, 129) = ( 3 x 129 ) / 129

= 3 / 129

= 3

Step3:

LCM(3, 660) = 660

GCD(3, 660) = ( 3 x 660 ) / 660

= 3 / 660

= 3

So, Greatest Common Divisor of 813, 990, 129, 660 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 508, 164, 856, 878
• GCD of 861, 483, 727, 654
• GCD of 144, 699, 724, 975
• GCD of 243, 675, 517, 521
• GCD of 160, 909, 455, 441

Given numbers are 813, 990, 129, 660
The greatest common divisor of numbers 813, 990, 129, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 813, 990, 129, 660 is 3.

1. What is the GCD of 813, 990, 129, 660?

GCD of given numbers 813, 990, 129, 660 is 3

2. How to calculate the greatest common divisor of 813, 990, 129, 660?

We can find the highest common divisor of 813, 990, 129, 660 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 813, 990, 129, 660 i.e 3.

3. How can I use the GCD of 813, 990, 129, 660Calculator?

Out the numbers 813, 990, 129, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.