GCD of 108, 789, 675, 310 Calculator

Given Input numbers are 108, 789, 675, 310

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 789 :

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

1, 3, 263, 789

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

GCD of numbers is the greatest common divisor

So, the GCD (108, 789, 675, 310) = 1.

Given numbers are 108, 789, 675, 310

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 789 are 3 x 263

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 310 are 2 x 5 x 31

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 108, 789, 675, 310

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

Apply this formula for all numbers.

Step1:

LCM(108, 789) = 28404

GCD(108, 789) = ( 108 x 789 ) / 28404

= 108 / 789

= 108

Step2:

LCM(3, 675) = 675

GCD(3, 675) = ( 3 x 675 ) / 675

= 3 / 675

= 3

Step3:

LCM(3, 310) = 930

GCD(3, 310) = ( 3 x 310 ) / 930

= 3 / 310

= 3

So, Greatest Common Divisor of 108, 789, 675, 310 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 143, 216, 804, 451
• GCD of 374, 380, 645, 622
• GCD of 618, 197, 947, 859
• GCD of 268, 214, 719, 401
• GCD of 890, 573, 828, 494

Given numbers are 108, 789, 675, 310
The greatest common divisor of numbers 108, 789, 675, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 789, 675, 310 is 1.

1. What is the GCD of 108, 789, 675, 310?

GCD of given numbers 108, 789, 675, 310 is 1

2. How to calculate the greatest common divisor of 108, 789, 675, 310?

We can find the highest common divisor of 108, 789, 675, 310 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, 789, 675, 310 i.e 1.

3. How can I use the GCD of 108, 789, 675, 310Calculator?

Out the numbers 108, 789, 675, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.