GCD of 510, 508, 309, 312 Calculator

Given Input numbers are 510, 508, 309, 312

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

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 309 :

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

1, 3, 103, 309

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (510, 508, 309, 312) = 1.

Given numbers are 510, 508, 309, 312

The list of prime factors of all numbers are

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 508 are 2 x 2 x 127

Prime factors of 309 are 3 x 103

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

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

Given numbers are 510, 508, 309, 312

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

Apply this formula for all numbers.

Step1:

LCM(510, 508) = 129540

GCD(510, 508) = ( 510 x 508 ) / 129540

= 510 / 508

= 510

Step2:

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

= 2 / 309

= 2

Step3:

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

= 1 / 312

= 1

So, Greatest Common Divisor of 510, 508, 309, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 493, 784, 737, 835
• GCD of 582, 478, 490, 312
• GCD of 594, 139, 107, 662
• GCD of 975, 796, 371, 889
• GCD of 172, 603, 387, 598

Given numbers are 510, 508, 309, 312
The greatest common divisor of numbers 510, 508, 309, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 508, 309, 312 is 1.

1. What is the GCD of 510, 508, 309, 312?

GCD of given numbers 510, 508, 309, 312 is 1

2. How to calculate the greatest common divisor of 510, 508, 309, 312?

We can find the highest common divisor of 510, 508, 309, 312 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 510, 508, 309, 312 i.e 1.

3. How can I use the GCD of 510, 508, 309, 312Calculator?

Out the numbers 510, 508, 309, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.