GCD of 330, 813, 432, 315 Calculator

Given Input numbers are 330, 813, 432, 315

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

Divisors of 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

GCD of numbers is the greatest common divisor

So, the GCD (330, 813, 432, 315) = 3.

Given numbers are 330, 813, 432, 315

The list of prime factors of all numbers are

Prime factors of 330 are 2 x 3 x 5 x 11

Prime factors of 813 are 3 x 271

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 315 are 3 x 3 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 330, 813, 432, 315 is 3.

Given numbers are 330, 813, 432, 315

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

Apply this formula for all numbers.

Step1:

LCM(330, 813) = 89430

GCD(330, 813) = ( 330 x 813 ) / 89430

= 330 / 813

= 330

Step2:

LCM(3, 432) = 432

GCD(3, 432) = ( 3 x 432 ) / 432

= 3 / 432

= 3

Step3:

LCM(3, 315) = 315

GCD(3, 315) = ( 3 x 315 ) / 315

= 3 / 315

= 3

So, Greatest Common Divisor of 330, 813, 432, 315 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 556, 364, 108, 167
• GCD of 975, 328, 821, 884
• GCD of 678, 886, 320, 319
• GCD of 227, 395, 953, 164
• GCD of 682, 587, 493, 480

Given numbers are 330, 813, 432, 315
The greatest common divisor of numbers 330, 813, 432, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 330, 813, 432, 315 is 3.

1. What is the GCD of 330, 813, 432, 315?

GCD of given numbers 330, 813, 432, 315 is 3

2. How to calculate the greatest common divisor of 330, 813, 432, 315?

We can find the highest common divisor of 330, 813, 432, 315 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 330, 813, 432, 315 i.e 3.

3. How can I use the GCD of 330, 813, 432, 315Calculator?

Out the numbers 330, 813, 432, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.