GCD of 108, 372, 390, 714 Calculator

Given Input numbers are 108, 372, 390, 714

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

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 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (108, 372, 390, 714) = 6.

Given numbers are 108, 372, 390, 714

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 372 are 2 x 2 x 3 x 31

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

Prime factors of 714 are 2 x 3 x 7 x 17

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 108, 372, 390, 714 is 6.

Given numbers are 108, 372, 390, 714

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

Apply this formula for all numbers.

Step1:

LCM(108, 372) = 3348

GCD(108, 372) = ( 108 x 372 ) / 3348

= 108 / 372

= 108

Step2:

LCM(12, 390) = 780

GCD(12, 390) = ( 12 x 390 ) / 780

= 12 / 390

= 12

Step3:

LCM(6, 714) = 714

GCD(6, 714) = ( 6 x 714 ) / 714

= 6 / 714

= 6

So, Greatest Common Divisor of 108, 372, 390, 714 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 128, 612, 945, 159
• GCD of 893, 530, 301, 295
• GCD of 394, 796, 999, 769
• GCD of 586, 564, 207, 685
• GCD of 736, 933, 574, 510

Given numbers are 108, 372, 390, 714
The greatest common divisor of numbers 108, 372, 390, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 372, 390, 714 is 6.

1. What is the GCD of 108, 372, 390, 714?

GCD of given numbers 108, 372, 390, 714 is 6

2. How to calculate the greatest common divisor of 108, 372, 390, 714?

We can find the highest common divisor of 108, 372, 390, 714 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 108, 372, 390, 714 i.e 6.

3. How can I use the GCD of 108, 372, 390, 714Calculator?

Out the numbers 108, 372, 390, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.