GCD of 502, 864, 324, 730 Calculator

Given Input numbers are 502, 864, 324, 730

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

Divisors of 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

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 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

GCD of numbers is the greatest common divisor

So, the GCD (502, 864, 324, 730) = 2.

Given numbers are 502, 864, 324, 730

The list of prime factors of all numbers are

Prime factors of 502 are 2 x 251

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Prime factors of 730 are 2 x 5 x 73

The highest common occurrence is 2¹

Therefore, GCD of 502, 864, 324, 730 is 2.

Given numbers are 502, 864, 324, 730

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

Apply this formula for all numbers.

Step1:

LCM(502, 864) = 216864

GCD(502, 864) = ( 502 x 864 ) / 216864

= 502 / 864

= 502

Step2:

LCM(2, 324) = 324

GCD(2, 324) = ( 2 x 324 ) / 324

= 2 / 324

= 2

Step3:

LCM(2, 730) = 730

GCD(2, 730) = ( 2 x 730 ) / 730

= 2 / 730

= 2

So, Greatest Common Divisor of 502, 864, 324, 730 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 733, 432, 820, 103
• GCD of 328, 376, 159, 569
• GCD of 972, 412, 510, 200
• GCD of 539, 704, 311, 305
• GCD of 351, 463, 498, 678

Given numbers are 502, 864, 324, 730
The greatest common divisor of numbers 502, 864, 324, 730 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 502, 864, 324, 730 is 2.

1. What is the GCD of 502, 864, 324, 730?

GCD of given numbers 502, 864, 324, 730 is 2

2. How to calculate the greatest common divisor of 502, 864, 324, 730?

We can find the highest common divisor of 502, 864, 324, 730 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 502, 864, 324, 730 i.e 2.

3. How can I use the GCD of 502, 864, 324, 730Calculator?

Out the numbers 502, 864, 324, 730 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.