GCD of 107, 317, 390, 585 Calculator

Given Input numbers are 107, 317, 390, 585

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

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 317 :

The positive integer divisors of 317 that completely divides 317 are.

1, 317

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 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

GCD of numbers is the greatest common divisor

So, the GCD (107, 317, 390, 585) = 1.

Given numbers are 107, 317, 390, 585

The list of prime factors of all numbers are

Prime factors of 107 are 107

Prime factors of 317 are 317

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

Prime factors of 585 are 3 x 3 x 5 x 13

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

Given numbers are 107, 317, 390, 585

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

Apply this formula for all numbers.

Step1:

LCM(107, 317) = 33919

GCD(107, 317) = ( 107 x 317 ) / 33919

= 107 / 317

= 107

Step2:

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

= 1 / 390

= 1

Step3:

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

= 1 / 585

= 1

So, Greatest Common Divisor of 107, 317, 390, 585 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 156, 721, 335, 293
• GCD of 605, 342, 624, 656
• GCD of 781, 611, 153, 228
• GCD of 781, 920, 675, 320
• GCD of 803, 309, 553, 314

Given numbers are 107, 317, 390, 585
The greatest common divisor of numbers 107, 317, 390, 585 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 107, 317, 390, 585 is 1.

1. What is the GCD of 107, 317, 390, 585?

GCD of given numbers 107, 317, 390, 585 is 1

2. How to calculate the greatest common divisor of 107, 317, 390, 585?

We can find the highest common divisor of 107, 317, 390, 585 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 107, 317, 390, 585 i.e 1.

3. How can I use the GCD of 107, 317, 390, 585Calculator?

Out the numbers 107, 317, 390, 585 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.