Online GCD Calculator is useful to find the GCD of 264, 276, 780, 396 quickly. Get the easiest ways to solve the greatest common divisor of 264, 276, 780, 396 i.e 12 in different methods as follows.
Given Input numbers are 264, 276, 780, 396
In the factoring method, we have to find the divisors of all numbers
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 276 :
The positive integer divisors of 276 that completely divides 276 are.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
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 (264, 276, 780, 396) = 12.
Given numbers are 264, 276, 780, 396
The list of prime factors of all numbers are
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
Prime factors of 276 are 2 x 2 x 3 x 23
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 264, 276, 780, 396 is 12.
Given numbers are 264, 276, 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(264, 276) = 6072
GCD(264, 276) = ( 264 x 276 ) / 6072
= 264 / 276
= 264
Step2:
LCM(12, 780) = 780
GCD(12, 780) = ( 12 x 780 ) / 780
= 12 / 780
= 12
Step3:
LCM(12, 396) = 396
GCD(12, 396) = ( 12 x 396 ) / 396
= 12 / 396
= 12
So, Greatest Common Divisor of 264, 276, 780, 396 is 12
Here are some samples of GCD of Numbers calculations.
Given numbers are 264, 276, 780, 396
The greatest common divisor of numbers 264, 276, 780, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 276, 780, 396 is 12.
1. What is the GCD of 264, 276, 780, 396?
GCD of given numbers 264, 276, 780, 396 is 12
2. How to calculate the greatest common divisor of 264, 276, 780, 396?
We can find the highest common divisor of 264, 276, 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 264, 276, 780, 396 i.e 12.
3. How can I use the GCD of 264, 276, 780, 396Calculator?
Out the numbers 264, 276, 780, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.