Online GCD Calculator is useful to find the GCD of 816, 780, 492 quickly. Get the easiest ways to solve the greatest common divisor of 816, 780, 492 i.e 12 in different methods as follows.
Given Input numbers are 816, 780, 492
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 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
GCD of numbers is the greatest common divisor
So, the GCD (816, 780, 492) = 12.
Given numbers are 816, 780, 492
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 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 492 are 2 x 2 x 3 x 41
The highest common occurrence is 22 x 31
Therefore, GCD of 816, 780, 492 is 12.
Given numbers are 816, 780, 492
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(816, 780) = 53040
GCD(816, 780) = ( 816 x 780 ) / 53040
= 816 / 780
= 816
Step2:
LCM(12, 492) = 492
GCD(12, 492) = ( 12 x 492 ) / 492
= 12 / 492
= 12
So, Greatest Common Divisor of 816, 780, 492 is 12
Here are some samples of GCD of Numbers calculations.
Given numbers are 816, 780, 492
The greatest common divisor of numbers 816, 780, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 780, 492 is 12.
1. What is the GCD of 816, 780, 492?
GCD of given numbers 816, 780, 492 is 12
2. How to calculate the greatest common divisor of 816, 780, 492?
We can find the highest common divisor of 816, 780, 492 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, 780, 492 i.e 12.
3. How can I use the GCD of 816, 780, 492Calculator?
Out the numbers 816, 780, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.