Online GCD Calculator is useful to find the GCD of 378, 480, 516 quickly. Get the easiest ways to solve the greatest common divisor of 378, 480, 516 i.e 6 in different methods as follows.
Given Input numbers are 378, 480, 516
In the factoring method, we have to find the divisors of all numbers
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 516 :
The positive integer divisors of 516 that completely divides 516 are.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
GCD of numbers is the greatest common divisor
So, the GCD (378, 480, 516) = 6.
Given numbers are 378, 480, 516
The list of prime factors of all numbers are
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 516 are 2 x 2 x 3 x 43
The highest common occurrence is 21 x 31
Therefore, GCD of 378, 480, 516 is 6.
Given numbers are 378, 480, 516
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(378, 480) = 30240
GCD(378, 480) = ( 378 x 480 ) / 30240
= 378 / 480
= 378
Step2:
LCM(6, 516) = 516
GCD(6, 516) = ( 6 x 516 ) / 516
= 6 / 516
= 6
So, Greatest Common Divisor of 378, 480, 516 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 378, 480, 516
The greatest common divisor of numbers 378, 480, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 480, 516 is 6.
1. What is the GCD of 378, 480, 516?
GCD of given numbers 378, 480, 516 is 6
2. How to calculate the greatest common divisor of 378, 480, 516?
We can find the highest common divisor of 378, 480, 516 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 378, 480, 516 i.e 6.
3. How can I use the GCD of 378, 480, 516Calculator?
Out the numbers 378, 480, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.