Online GCD Calculator is useful to find the GCD of 372, 960, 780 quickly. Get the easiest ways to solve the greatest common divisor of 372, 960, 780 i.e 12 in different methods as follows.
Given Input numbers are 372, 960, 780
In the factoring method, we have to find the divisors of all numbers
Divisors of 372 :
The positive integer divisors of 372 that completely divides 372 are.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
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
GCD of numbers is the greatest common divisor
So, the GCD (372, 960, 780) = 12.
Given numbers are 372, 960, 780
The list of prime factors of all numbers are
Prime factors of 372 are 2 x 2 x 3 x 31
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
The highest common occurrence is 22 x 31
Therefore, GCD of 372, 960, 780 is 12.
Given numbers are 372, 960, 780
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(372, 960) = 29760
GCD(372, 960) = ( 372 x 960 ) / 29760
= 372 / 960
= 372
Step2:
LCM(12, 780) = 780
GCD(12, 780) = ( 12 x 780 ) / 780
= 12 / 780
= 12
So, Greatest Common Divisor of 372, 960, 780 is 12
Here are some samples of GCD of Numbers calculations.
Given numbers are 372, 960, 780
The greatest common divisor of numbers 372, 960, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 372, 960, 780 is 12.
1. What is the GCD of 372, 960, 780?
GCD of given numbers 372, 960, 780 is 12
2. How to calculate the greatest common divisor of 372, 960, 780?
We can find the highest common divisor of 372, 960, 780 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 372, 960, 780 i.e 12.
3. How can I use the GCD of 372, 960, 780Calculator?
Out the numbers 372, 960, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.