Online GCD Calculator is useful to find the GCD of 378, 795, 393, 225 quickly. Get the easiest ways to solve the greatest common divisor of 378, 795, 393, 225 i.e 3 in different methods as follows.
Given Input numbers are 378, 795, 393, 225
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 795 :
The positive integer divisors of 795 that completely divides 795 are.
1, 3, 5, 15, 53, 159, 265, 795
Divisors of 393 :
The positive integer divisors of 393 that completely divides 393 are.
1, 3, 131, 393
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
GCD of numbers is the greatest common divisor
So, the GCD (378, 795, 393, 225) = 3.
Given numbers are 378, 795, 393, 225
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 795 are 3 x 5 x 53
Prime factors of 393 are 3 x 131
Prime factors of 225 are 3 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 378, 795, 393, 225 is 3.
Given numbers are 378, 795, 393, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(378, 795) = 100170
GCD(378, 795) = ( 378 x 795 ) / 100170
= 378 / 795
= 378
Step2:
LCM(3, 393) = 393
GCD(3, 393) = ( 3 x 393 ) / 393
= 3 / 393
= 3
Step3:
LCM(3, 225) = 225
GCD(3, 225) = ( 3 x 225 ) / 225
= 3 / 225
= 3
So, Greatest Common Divisor of 378, 795, 393, 225 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 378, 795, 393, 225
The greatest common divisor of numbers 378, 795, 393, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 795, 393, 225 is 3.
1. What is the GCD of 378, 795, 393, 225?
GCD of given numbers 378, 795, 393, 225 is 3
2. How to calculate the greatest common divisor of 378, 795, 393, 225?
We can find the highest common divisor of 378, 795, 393, 225 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, 795, 393, 225 i.e 3.
3. How can I use the GCD of 378, 795, 393, 225Calculator?
Out the numbers 378, 795, 393, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.