GCD of 480, 355, 456, 330 Calculator

Given Input numbers are 480, 355, 456, 330

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

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 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 (480, 355, 456, 330) = 1.

Given numbers are 480, 355, 456, 330

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 355 are 5 x 71

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

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

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

Given numbers are 480, 355, 456, 330

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

Apply this formula for all numbers.

Step1:

LCM(480, 355) = 34080

GCD(480, 355) = ( 480 x 355 ) / 34080

= 480 / 355

= 480

Step2:

LCM(5, 456) = 2280

GCD(5, 456) = ( 5 x 456 ) / 2280

= 5 / 456

= 5

Step3:

LCM(1, 330) = 330

GCD(1, 330) = ( 1 x 330 ) / 330

= 1 / 330

= 1

So, Greatest Common Divisor of 480, 355, 456, 330 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 358, 699, 528, 829
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Given numbers are 480, 355, 456, 330
The greatest common divisor of numbers 480, 355, 456, 330 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 355, 456, 330 is 1.

1. What is the GCD of 480, 355, 456, 330?

GCD of given numbers 480, 355, 456, 330 is 1

2. How to calculate the greatest common divisor of 480, 355, 456, 330?

We can find the highest common divisor of 480, 355, 456, 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 480, 355, 456, 330 i.e 1.

3. How can I use the GCD of 480, 355, 456, 330Calculator?

Out the numbers 480, 355, 456, 330 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.