GCD of 132, 789, 366, 312 Calculator

Given Input numbers are 132, 789, 366, 312

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

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

Divisors of 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (132, 789, 366, 312) = 3.

Given numbers are 132, 789, 366, 312

The list of prime factors of all numbers are

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 789 are 3 x 263

Prime factors of 366 are 2 x 3 x 61

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 132, 789, 366, 312 is 3.

Given numbers are 132, 789, 366, 312

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

Apply this formula for all numbers.

Step1:

LCM(132, 789) = 34716

GCD(132, 789) = ( 132 x 789 ) / 34716

= 132 / 789

= 132

Step2:

LCM(3, 366) = 366

GCD(3, 366) = ( 3 x 366 ) / 366

= 3 / 366

= 3

Step3:

LCM(3, 312) = 312

GCD(3, 312) = ( 3 x 312 ) / 312

= 3 / 312

= 3

So, Greatest Common Divisor of 132, 789, 366, 312 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 436, 960, 313, 475
• GCD of 400, 417, 362, 160
• GCD of 860, 784, 908, 210
• GCD of 123, 517, 685, 364
• GCD of 149, 178, 278, 949

Given numbers are 132, 789, 366, 312
The greatest common divisor of numbers 132, 789, 366, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 789, 366, 312 is 3.

1. What is the GCD of 132, 789, 366, 312?

GCD of given numbers 132, 789, 366, 312 is 3

2. How to calculate the greatest common divisor of 132, 789, 366, 312?

We can find the highest common divisor of 132, 789, 366, 312 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 132, 789, 366, 312 i.e 3.

3. How can I use the GCD of 132, 789, 366, 312Calculator?

Out the numbers 132, 789, 366, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.