GCD of 129, 990, 735, 582 Calculator

Given Input numbers are 129, 990, 735, 582

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

Divisors of 129 :

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

1, 3, 43, 129

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 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

GCD of numbers is the greatest common divisor

So, the GCD (129, 990, 735, 582) = 3.

Given numbers are 129, 990, 735, 582

The list of prime factors of all numbers are

Prime factors of 129 are 3 x 43

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

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 582 are 2 x 3 x 97

The highest common occurrence is 3¹

Therefore, GCD of 129, 990, 735, 582 is 3.

Given numbers are 129, 990, 735, 582

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

Apply this formula for all numbers.

Step1:

LCM(129, 990) = 42570

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

= 129 / 990

= 129

Step2:

LCM(3, 735) = 735

GCD(3, 735) = ( 3 x 735 ) / 735

= 3 / 735

= 3

Step3:

LCM(3, 582) = 582

GCD(3, 582) = ( 3 x 582 ) / 582

= 3 / 582

= 3

So, Greatest Common Divisor of 129, 990, 735, 582 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 876, 575, 481, 827
• GCD of 549, 675, 190, 166
• GCD of 764, 730, 168, 240
• GCD of 773, 685, 703, 420
• GCD of 793, 188, 201, 169

Given numbers are 129, 990, 735, 582
The greatest common divisor of numbers 129, 990, 735, 582 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 129, 990, 735, 582 is 3.

1. What is the GCD of 129, 990, 735, 582?

GCD of given numbers 129, 990, 735, 582 is 3

2. How to calculate the greatest common divisor of 129, 990, 735, 582?

We can find the highest common divisor of 129, 990, 735, 582 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 129, 990, 735, 582 i.e 3.

3. How can I use the GCD of 129, 990, 735, 582Calculator?

Out the numbers 129, 990, 735, 582 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.