GCD of 309, 717, 104, 789 Calculator

Given Input numbers are 309, 717, 104, 789

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 789 :

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

1, 3, 263, 789

GCD of numbers is the greatest common divisor

So, the GCD (309, 717, 104, 789) = 1.

Given numbers are 309, 717, 104, 789

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 717 are 3 x 239

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 789 are 3 x 263

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

Given numbers are 309, 717, 104, 789

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

Apply this formula for all numbers.

Step1:

LCM(309, 717) = 73851

GCD(309, 717) = ( 309 x 717 ) / 73851

= 309 / 717

= 309

Step2:

LCM(3, 104) = 312

GCD(3, 104) = ( 3 x 104 ) / 312

= 3 / 104

= 3

Step3:

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

= 1 / 789

= 1

So, Greatest Common Divisor of 309, 717, 104, 789 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 712, 440, 191, 825
• GCD of 195, 645, 457, 852
• GCD of 627, 692, 370, 711
• GCD of 172, 285, 966, 229
• GCD of 617, 460, 977, 635

Given numbers are 309, 717, 104, 789
The greatest common divisor of numbers 309, 717, 104, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 717, 104, 789 is 1.

1. What is the GCD of 309, 717, 104, 789?

GCD of given numbers 309, 717, 104, 789 is 1

2. How to calculate the greatest common divisor of 309, 717, 104, 789?

We can find the highest common divisor of 309, 717, 104, 789 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 309, 717, 104, 789 i.e 1.

3. How can I use the GCD of 309, 717, 104, 789Calculator?

Out the numbers 309, 717, 104, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.