Online GCD Calculator is useful to find the GCD of 468, 780, 396 quickly. Get the easiest ways to solve the greatest common divisor of 468, 780, 396 i.e 12 in different methods as follows.
Given Input numbers are 468, 780, 396
In the factoring method, we have to find the divisors of all numbers
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
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 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
GCD of numbers is the greatest common divisor
So, the GCD (468, 780, 396) = 12.
Given numbers are 468, 780, 396
The list of prime factors of all numbers are
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
The highest common occurrence is 22 x 31
Therefore, GCD of 468, 780, 396 is 12.
Given numbers are 468, 780, 396
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(468, 780) = 2340
GCD(468, 780) = ( 468 x 780 ) / 2340
= 468 / 780
= 468
Step2:
LCM(156, 396) = 5148
GCD(156, 396) = ( 156 x 396 ) / 5148
= 156 / 396
= 156
So, Greatest Common Divisor of 468, 780, 396 is 12
Here are some samples of GCD of Numbers calculations.
Given numbers are 468, 780, 396
The greatest common divisor of numbers 468, 780, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 780, 396 is 12.
1. What is the GCD of 468, 780, 396?
GCD of given numbers 468, 780, 396 is 12
2. How to calculate the greatest common divisor of 468, 780, 396?
We can find the highest common divisor of 468, 780, 396 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 468, 780, 396 i.e 12.
3. How can I use the GCD of 468, 780, 396Calculator?
Out the numbers 468, 780, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.