GCD of 816, 540, 12, 984 Calculator

Given Input numbers are 816, 540, 12, 984

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

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

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 12 :

The positive integer divisors of 12 that completely divides 12 are.

1, 2, 3, 4, 6, 12

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

GCD of numbers is the greatest common divisor

So, the GCD (816, 540, 12, 984) = 12.

Given numbers are 816, 540, 12, 984

The list of prime factors of all numbers are

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

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 12 are 2 x 2 x 3

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

The highest common occurrence is 2² x 3¹

Therefore, GCD of 816, 540, 12, 984 is 12.

Given numbers are 816, 540, 12, 984

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

Apply this formula for all numbers.

Step1:

LCM(816, 540) = 36720

GCD(816, 540) = ( 816 x 540 ) / 36720

= 816 / 540

= 816

Step2:

LCM(12, 12) = 12

GCD(12, 12) = ( 12 x 12 ) / 12

= 12 / 12

= 12

Step3:

LCM(12, 984) = 984

GCD(12, 984) = ( 12 x 984 ) / 984

= 12 / 984

= 12

So, Greatest Common Divisor of 816, 540, 12, 984 is 12

Here are some samples of GCD of Numbers calculations.

• GCD of 222, 199, 90, 928
• GCD of 704, 234, 37, 915
• GCD of 785, 480, 42, 315
• GCD of 270, 766, 67, 804
• GCD of 541, 876, 11, 877

Given numbers are 816, 540, 12, 984
The greatest common divisor of numbers 816, 540, 12, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 540, 12, 984 is 12.

1. What is the GCD of 816, 540, 12, 984?

GCD of given numbers 816, 540, 12, 984 is 12

2. How to calculate the greatest common divisor of 816, 540, 12, 984?

We can find the highest common divisor of 816, 540, 12, 984 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 816, 540, 12, 984 i.e 12.

3. How can I use the GCD of 816, 540, 12, 984Calculator?

Out the numbers 816, 540, 12, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.