GCD of 500, 600, 100, 816 Calculator

Given Input numbers are 500, 600, 100, 816

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 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

GCD of numbers is the greatest common divisor

So, the GCD (500, 600, 100, 816) = 4.

Given numbers are 500, 600, 100, 816

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 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

The highest common occurrence is 2²

Therefore, GCD of 500, 600, 100, 816 is 4.

Given numbers are 500, 600, 100, 816

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

Apply this formula for all numbers.

Step1:

LCM(500, 600) = 3000

GCD(500, 600) = ( 500 x 600 ) / 3000

= 500 / 600

= 500

Step2:

LCM(100, 100) = 100

GCD(100, 100) = ( 100 x 100 ) / 100

= 100 / 100

= 100

Step3:

LCM(100, 816) = 20400

GCD(100, 816) = ( 100 x 816 ) / 20400

= 100 / 816

= 100

So, Greatest Common Divisor of 500, 600, 100, 816 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 508, 906, 904, 818
• GCD of 647, 445, 247, 900
• GCD of 344, 877, 320, 593
• GCD of 762, 987, 885, 110
• GCD of 895, 111, 153, 267

Given numbers are 500, 600, 100, 816
The greatest common divisor of numbers 500, 600, 100, 816 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 600, 100, 816 is 4.

1. What is the GCD of 500, 600, 100, 816?

GCD of given numbers 500, 600, 100, 816 is 4

2. How to calculate the greatest common divisor of 500, 600, 100, 816?

We can find the highest common divisor of 500, 600, 100, 816 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, 600, 100, 816 i.e 4.

3. How can I use the GCD of 500, 600, 100, 816Calculator?

Out the numbers 500, 600, 100, 816 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.