GCD of 456, 500, 10, 816 Calculator

Given Input numbers are 456, 500, 10, 816

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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 10 :

The positive integer divisors of 10 that completely divides 10 are.

1, 2, 5, 10

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 (456, 500, 10, 816) = 2.

Given numbers are 456, 500, 10, 816

The list of prime factors of all numbers are

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

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

Prime factors of 10 are 2 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 456, 500, 10, 816 is 2.

Given numbers are 456, 500, 10, 816

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

Apply this formula for all numbers.

Step1:

LCM(456, 500) = 57000

GCD(456, 500) = ( 456 x 500 ) / 57000

= 456 / 500

= 456

Step2:

LCM(4, 10) = 20

GCD(4, 10) = ( 4 x 10 ) / 20

= 4 / 10

= 4

Step3:

LCM(2, 816) = 816

GCD(2, 816) = ( 2 x 816 ) / 816

= 2 / 816

= 2

So, Greatest Common Divisor of 456, 500, 10, 816 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 390, 305, 92, 111
• GCD of 738, 233, 12, 513
• GCD of 936, 779, 21, 407
• GCD of 677, 579, 36, 165
• GCD of 395, 467, 18, 597

Given numbers are 456, 500, 10, 816
The greatest common divisor of numbers 456, 500, 10, 816 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 500, 10, 816 is 2.

1. What is the GCD of 456, 500, 10, 816?

GCD of given numbers 456, 500, 10, 816 is 2

2. How to calculate the greatest common divisor of 456, 500, 10, 816?

We can find the highest common divisor of 456, 500, 10, 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 456, 500, 10, 816 i.e 2.

3. How can I use the GCD of 456, 500, 10, 816Calculator?

Out the numbers 456, 500, 10, 816 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.