GCD of 744, 387, 390, 312 Calculator

Given Input numbers are 744, 387, 390, 312

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 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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 (744, 387, 390, 312) = 3.

Given numbers are 744, 387, 390, 312

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 387 are 3 x 3 x 43

Prime factors of 390 are 2 x 3 x 5 x 13

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

The highest common occurrence is 3¹

Therefore, GCD of 744, 387, 390, 312 is 3.

Given numbers are 744, 387, 390, 312

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

Apply this formula for all numbers.

Step1:

LCM(744, 387) = 95976

GCD(744, 387) = ( 744 x 387 ) / 95976

= 744 / 387

= 744

Step2:

LCM(3, 390) = 390

GCD(3, 390) = ( 3 x 390 ) / 390

= 3 / 390

= 3

Step3:

LCM(3, 312) = 312

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

= 3 / 312

= 3

So, Greatest Common Divisor of 744, 387, 390, 312 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 918, 804, 517, 807
• GCD of 733, 934, 605, 722
• GCD of 356, 947, 239, 681
• GCD of 194, 744, 618, 579
• GCD of 730, 168, 400, 648

Given numbers are 744, 387, 390, 312
The greatest common divisor of numbers 744, 387, 390, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 387, 390, 312 is 3.

1. What is the GCD of 744, 387, 390, 312?

GCD of given numbers 744, 387, 390, 312 is 3

2. How to calculate the greatest common divisor of 744, 387, 390, 312?

We can find the highest common divisor of 744, 387, 390, 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 744, 387, 390, 312 i.e 3.

3. How can I use the GCD of 744, 387, 390, 312Calculator?

Out the numbers 744, 387, 390, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.