GCD of 480, 264, 684, 331 Calculator

Given Input numbers are 480, 264, 684, 331

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 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 331 :

The positive integer divisors of 331 that completely divides 331 are.

1, 331

GCD of numbers is the greatest common divisor

So, the GCD (480, 264, 684, 331) = 1.

Given numbers are 480, 264, 684, 331

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 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 331 are 331

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

Given numbers are 480, 264, 684, 331

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

Apply this formula for all numbers.

Step1:

LCM(480, 264) = 5280

GCD(480, 264) = ( 480 x 264 ) / 5280

= 480 / 264

= 480

Step2:

LCM(24, 684) = 1368

GCD(24, 684) = ( 24 x 684 ) / 1368

= 24 / 684

= 24

Step3:

LCM(12, 331) = 3972

GCD(12, 331) = ( 12 x 331 ) / 3972

= 12 / 331

= 12

So, Greatest Common Divisor of 480, 264, 684, 331 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 675, 470, 983, 597
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• GCD of 907, 105, 120, 379

Given numbers are 480, 264, 684, 331
The greatest common divisor of numbers 480, 264, 684, 331 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 264, 684, 331 is 1.

1. What is the GCD of 480, 264, 684, 331?

GCD of given numbers 480, 264, 684, 331 is 1

2. How to calculate the greatest common divisor of 480, 264, 684, 331?

We can find the highest common divisor of 480, 264, 684, 331 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, 264, 684, 331 i.e 1.

3. How can I use the GCD of 480, 264, 684, 331Calculator?

Out the numbers 480, 264, 684, 331 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.