GCD of 320, 456, 116, 330 Calculator

Given Input numbers are 320, 456, 116, 330

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

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

GCD of numbers is the greatest common divisor

So, the GCD (320, 456, 116, 330) = 2.

Given numbers are 320, 456, 116, 330

The list of prime factors of all numbers are

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 116 are 2 x 2 x 29

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

The highest common occurrence is 2¹

Therefore, GCD of 320, 456, 116, 330 is 2.

Given numbers are 320, 456, 116, 330

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

Apply this formula for all numbers.

Step1:

LCM(320, 456) = 18240

GCD(320, 456) = ( 320 x 456 ) / 18240

= 320 / 456

= 320

Step2:

LCM(8, 116) = 232

GCD(8, 116) = ( 8 x 116 ) / 232

= 8 / 116

= 8

Step3:

LCM(4, 330) = 660

GCD(4, 330) = ( 4 x 330 ) / 660

= 4 / 330

= 4

So, Greatest Common Divisor of 320, 456, 116, 330 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 383, 384, 182, 310
• GCD of 879, 398, 706, 483
• GCD of 351, 577, 172, 387
• GCD of 701, 544, 451, 555
• GCD of 666, 225, 344, 609

Given numbers are 320, 456, 116, 330
The greatest common divisor of numbers 320, 456, 116, 330 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 456, 116, 330 is 2.

1. What is the GCD of 320, 456, 116, 330?

GCD of given numbers 320, 456, 116, 330 is 2

2. How to calculate the greatest common divisor of 320, 456, 116, 330?

We can find the highest common divisor of 320, 456, 116, 330 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 320, 456, 116, 330 i.e 2.

3. How can I use the GCD of 320, 456, 116, 330Calculator?

Out the numbers 320, 456, 116, 330 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.