GCD of 324, 480, 511, 747 Calculator

Given Input numbers are 324, 480, 511, 747

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

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

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 511 :

The positive integer divisors of 511 that completely divides 511 are.

1, 7, 73, 511

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

GCD of numbers is the greatest common divisor

So, the GCD (324, 480, 511, 747) = 1.

Given numbers are 324, 480, 511, 747

The list of prime factors of all numbers are

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

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

Prime factors of 511 are 7 x 73

Prime factors of 747 are 3 x 3 x 83

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

Given numbers are 324, 480, 511, 747

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

Apply this formula for all numbers.

Step1:

LCM(324, 480) = 12960

GCD(324, 480) = ( 324 x 480 ) / 12960

= 324 / 480

= 324

Step2:

LCM(12, 511) = 6132

GCD(12, 511) = ( 12 x 511 ) / 6132

= 12 / 511

= 12

Step3:

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

= 1 / 747

= 1

So, Greatest Common Divisor of 324, 480, 511, 747 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 676, 800, 899, 679
• GCD of 349, 305, 908, 223
• GCD of 982, 426, 402, 366
• GCD of 995, 788, 701, 326
• GCD of 361, 951, 998, 472

Given numbers are 324, 480, 511, 747
The greatest common divisor of numbers 324, 480, 511, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 480, 511, 747 is 1.

1. What is the GCD of 324, 480, 511, 747?

GCD of given numbers 324, 480, 511, 747 is 1

2. How to calculate the greatest common divisor of 324, 480, 511, 747?

We can find the highest common divisor of 324, 480, 511, 747 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 324, 480, 511, 747 i.e 1.

3. How can I use the GCD of 324, 480, 511, 747Calculator?

Out the numbers 324, 480, 511, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.