Online GCD Calculator is useful to find the GCD of 378, 190, 724, 904 quickly. Get the easiest ways to solve the greatest common divisor of 378, 190, 724, 904 i.e 2 in different methods as follows.
Given Input numbers are 378, 190, 724, 904
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 190 :
The positive integer divisors of 190 that completely divides 190 are.
1, 2, 5, 10, 19, 38, 95, 190
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
GCD of numbers is the greatest common divisor
So, the GCD (378, 190, 724, 904) = 2.
Given numbers are 378, 190, 724, 904
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 190 are 2 x 5 x 19
Prime factors of 724 are 2 x 2 x 181
Prime factors of 904 are 2 x 2 x 2 x 113
The highest common occurrence is 21
Therefore, GCD of 378, 190, 724, 904 is 2.
Given numbers are 378, 190, 724, 904
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(378, 190) = 35910
GCD(378, 190) = ( 378 x 190 ) / 35910
= 378 / 190
= 378
Step2:
LCM(2, 724) = 724
GCD(2, 724) = ( 2 x 724 ) / 724
= 2 / 724
= 2
Step3:
LCM(2, 904) = 904
GCD(2, 904) = ( 2 x 904 ) / 904
= 2 / 904
= 2
So, Greatest Common Divisor of 378, 190, 724, 904 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 378, 190, 724, 904
The greatest common divisor of numbers 378, 190, 724, 904 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 190, 724, 904 is 2.
1. What is the GCD of 378, 190, 724, 904?
GCD of given numbers 378, 190, 724, 904 is 2
2. How to calculate the greatest common divisor of 378, 190, 724, 904?
We can find the highest common divisor of 378, 190, 724, 904 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, 190, 724, 904 i.e 2.
3. How can I use the GCD of 378, 190, 724, 904Calculator?
Out the numbers 378, 190, 724, 904 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.