GCD of 500, 882, 319, 728 Calculator

Given Input numbers are 500, 882, 319, 728

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 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 319 :

The positive integer divisors of 319 that completely divides 319 are.

1, 11, 29, 319

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (500, 882, 319, 728) = 1.

Given numbers are 500, 882, 319, 728

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 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 319 are 11 x 29

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

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

Given numbers are 500, 882, 319, 728

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

Apply this formula for all numbers.

Step1:

LCM(500, 882) = 220500

GCD(500, 882) = ( 500 x 882 ) / 220500

= 500 / 882

= 500

Step2:

LCM(2, 319) = 638

GCD(2, 319) = ( 2 x 319 ) / 638

= 2 / 319

= 2

Step3:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

So, Greatest Common Divisor of 500, 882, 319, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 757, 519, 210, 109
• GCD of 341, 130, 856, 859
• GCD of 600, 143, 439, 498
• GCD of 463, 763, 793, 505
• GCD of 644, 740, 119, 836

Given numbers are 500, 882, 319, 728
The greatest common divisor of numbers 500, 882, 319, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 882, 319, 728 is 1.

1. What is the GCD of 500, 882, 319, 728?

GCD of given numbers 500, 882, 319, 728 is 1

2. How to calculate the greatest common divisor of 500, 882, 319, 728?

We can find the highest common divisor of 500, 882, 319, 728 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, 882, 319, 728 i.e 1.

3. How can I use the GCD of 500, 882, 319, 728Calculator?

Out the numbers 500, 882, 319, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.