GCD of 480, 309, 612, 113 Calculator

Given Input numbers are 480, 309, 612, 113

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 309 :

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

1, 3, 103, 309

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 113 :

The positive integer divisors of 113 that completely divides 113 are.

1, 113

GCD of numbers is the greatest common divisor

So, the GCD (480, 309, 612, 113) = 1.

Given numbers are 480, 309, 612, 113

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 309 are 3 x 103

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 113 are 113

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

Given numbers are 480, 309, 612, 113

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

Apply this formula for all numbers.

Step1:

LCM(480, 309) = 49440

GCD(480, 309) = ( 480 x 309 ) / 49440

= 480 / 309

= 480

Step2:

LCM(3, 612) = 612

GCD(3, 612) = ( 3 x 612 ) / 612

= 3 / 612

= 3

Step3:

LCM(3, 113) = 339

GCD(3, 113) = ( 3 x 113 ) / 339

= 3 / 113

= 3

So, Greatest Common Divisor of 480, 309, 612, 113 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 177, 100, 944, 700
• GCD of 808, 487, 406, 625
• GCD of 731, 173, 473, 235
• GCD of 729, 586, 488, 541
• GCD of 684, 293, 938, 654

Given numbers are 480, 309, 612, 113
The greatest common divisor of numbers 480, 309, 612, 113 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 309, 612, 113 is 1.

1. What is the GCD of 480, 309, 612, 113?

GCD of given numbers 480, 309, 612, 113 is 1

2. How to calculate the greatest common divisor of 480, 309, 612, 113?

We can find the highest common divisor of 480, 309, 612, 113 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 480, 309, 612, 113 i.e 1.

3. How can I use the GCD of 480, 309, 612, 113Calculator?

Out the numbers 480, 309, 612, 113 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.