GCD of 500, 288, 793, 272 Calculator

Given Input numbers are 500, 288, 793, 272

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 793 :

The positive integer divisors of 793 that completely divides 793 are.

1, 13, 61, 793

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

GCD of numbers is the greatest common divisor

So, the GCD (500, 288, 793, 272) = 1.

Given numbers are 500, 288, 793, 272

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 793 are 13 x 61

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

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

Given numbers are 500, 288, 793, 272

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

Apply this formula for all numbers.

Step1:

LCM(500, 288) = 36000

GCD(500, 288) = ( 500 x 288 ) / 36000

= 500 / 288

= 500

Step2:

LCM(4, 793) = 3172

GCD(4, 793) = ( 4 x 793 ) / 3172

= 4 / 793

= 4

Step3:

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

= 1 / 272

= 1

So, Greatest Common Divisor of 500, 288, 793, 272 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 417, 322, 985, 729
• GCD of 335, 657, 807, 750
• GCD of 976, 969, 647, 924
• GCD of 529, 760, 122, 649
• GCD of 574, 247, 807, 877

Given numbers are 500, 288, 793, 272
The greatest common divisor of numbers 500, 288, 793, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 288, 793, 272 is 1.

1. What is the GCD of 500, 288, 793, 272?

GCD of given numbers 500, 288, 793, 272 is 1

2. How to calculate the greatest common divisor of 500, 288, 793, 272?

We can find the highest common divisor of 500, 288, 793, 272 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 500, 288, 793, 272 i.e 1.

3. How can I use the GCD of 500, 288, 793, 272Calculator?

Out the numbers 500, 288, 793, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.