GCD of 500, 108, 80 Calculator

Given Input numbers are 500, 108, 80

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 108 :

The positive integer divisors of 108 that completely divides 108 are.

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

Divisors of 80 :

The positive integer divisors of 80 that completely divides 80 are.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

GCD of numbers is the greatest common divisor

So, the GCD (500, 108, 80) = 4.

Given numbers are 500, 108, 80

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 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 80 are 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2²

Therefore, GCD of 500, 108, 80 is 4.

Given numbers are 500, 108, 80

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

Apply this formula for all numbers.

Step1:

LCM(500, 108) = 13500

GCD(500, 108) = ( 500 x 108 ) / 13500

= 500 / 108

= 500

Step2:

LCM(4, 80) = 80

GCD(4, 80) = ( 4 x 80 ) / 80

= 4 / 80

= 4

So, Greatest Common Divisor of 500, 108, 80 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 614, 697, 29
• GCD of 343, 356, 51
• GCD of 702, 517, 75
• GCD of 934, 870, 33
• GCD of 317, 971, 48

Given numbers are 500, 108, 80
The greatest common divisor of numbers 500, 108, 80 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 108, 80 is 4.

1. What is the GCD of 500, 108, 80?

GCD of given numbers 500, 108, 80 is 4

2. How to calculate the greatest common divisor of 500, 108, 80?

We can find the highest common divisor of 500, 108, 80 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, 108, 80 i.e 4.

3. How can I use the GCD of 500, 108, 80Calculator?

Out the numbers 500, 108, 80 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.