GCD of 744, 180, 12, 591 Calculator

Given Input numbers are 744, 180, 12, 591

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

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 12 :

The positive integer divisors of 12 that completely divides 12 are.

1, 2, 3, 4, 6, 12

Divisors of 591 :

The positive integer divisors of 591 that completely divides 591 are.

1, 3, 197, 591

GCD of numbers is the greatest common divisor

So, the GCD (744, 180, 12, 591) = 3.

Given numbers are 744, 180, 12, 591

The list of prime factors of all numbers are

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 12 are 2 x 2 x 3

Prime factors of 591 are 3 x 197

The highest common occurrence is 3¹

Therefore, GCD of 744, 180, 12, 591 is 3.

Given numbers are 744, 180, 12, 591

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

Apply this formula for all numbers.

Step1:

LCM(744, 180) = 11160

GCD(744, 180) = ( 744 x 180 ) / 11160

= 744 / 180

= 744

Step2:

LCM(12, 12) = 12

GCD(12, 12) = ( 12 x 12 ) / 12

= 12 / 12

= 12

Step3:

LCM(12, 591) = 2364

GCD(12, 591) = ( 12 x 591 ) / 2364

= 12 / 591

= 12

So, Greatest Common Divisor of 744, 180, 12, 591 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 222, 209, 33, 564
• GCD of 714, 697, 83, 756
• GCD of 263, 230, 18, 528
• GCD of 828, 696, 64, 884
• GCD of 274, 896, 74, 511

Given numbers are 744, 180, 12, 591
The greatest common divisor of numbers 744, 180, 12, 591 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 180, 12, 591 is 3.

1. What is the GCD of 744, 180, 12, 591?

GCD of given numbers 744, 180, 12, 591 is 3

2. How to calculate the greatest common divisor of 744, 180, 12, 591?

We can find the highest common divisor of 744, 180, 12, 591 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 744, 180, 12, 591 i.e 3.

3. How can I use the GCD of 744, 180, 12, 591Calculator?

Out the numbers 744, 180, 12, 591 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.