GCD of 496, 460, 585, 312 Calculator

Given Input numbers are 496, 460, 585, 312

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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

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 (496, 460, 585, 312) = 1.

Given numbers are 496, 460, 585, 312

The list of prime factors of all numbers are

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 460 are 2 x 2 x 5 x 23

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

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 496, 460, 585, 312

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

Apply this formula for all numbers.

Step1:

LCM(496, 460) = 57040

GCD(496, 460) = ( 496 x 460 ) / 57040

= 496 / 460

= 496

Step2:

LCM(4, 585) = 2340

GCD(4, 585) = ( 4 x 585 ) / 2340

= 4 / 585

= 4

Step3:

LCM(1, 312) = 312

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

= 1 / 312

= 1

So, Greatest Common Divisor of 496, 460, 585, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 311, 545, 344, 846
• GCD of 316, 230, 713, 425
• GCD of 349, 118, 474, 826
• GCD of 862, 651, 298, 145
• GCD of 800, 813, 299, 238

Given numbers are 496, 460, 585, 312
The greatest common divisor of numbers 496, 460, 585, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 460, 585, 312 is 1.

1. What is the GCD of 496, 460, 585, 312?

GCD of given numbers 496, 460, 585, 312 is 1

2. How to calculate the greatest common divisor of 496, 460, 585, 312?

We can find the highest common divisor of 496, 460, 585, 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 496, 460, 585, 312 i.e 1.

3. How can I use the GCD of 496, 460, 585, 312Calculator?

Out the numbers 496, 460, 585, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.