Online GCD Calculator is useful to find the GCD of 374, 342, 894, 904 quickly. Get the easiest ways to solve the greatest common divisor of 374, 342, 894, 904 i.e 2 in different methods as follows.
Given Input numbers are 374, 342, 894, 904
In the factoring method, we have to find the divisors of all numbers
Divisors of 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
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 (374, 342, 894, 904) = 2.
Given numbers are 374, 342, 894, 904
The list of prime factors of all numbers are
Prime factors of 374 are 2 x 11 x 17
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 894 are 2 x 3 x 149
Prime factors of 904 are 2 x 2 x 2 x 113
The highest common occurrence is 21
Therefore, GCD of 374, 342, 894, 904 is 2.
Given numbers are 374, 342, 894, 904
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(374, 342) = 63954
GCD(374, 342) = ( 374 x 342 ) / 63954
= 374 / 342
= 374
Step2:
LCM(2, 894) = 894
GCD(2, 894) = ( 2 x 894 ) / 894
= 2 / 894
= 2
Step3:
LCM(2, 904) = 904
GCD(2, 904) = ( 2 x 904 ) / 904
= 2 / 904
= 2
So, Greatest Common Divisor of 374, 342, 894, 904 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 374, 342, 894, 904
The greatest common divisor of numbers 374, 342, 894, 904 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 342, 894, 904 is 2.
1. What is the GCD of 374, 342, 894, 904?
GCD of given numbers 374, 342, 894, 904 is 2
2. How to calculate the greatest common divisor of 374, 342, 894, 904?
We can find the highest common divisor of 374, 342, 894, 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 374, 342, 894, 904 i.e 2.
3. How can I use the GCD of 374, 342, 894, 904Calculator?
Out the numbers 374, 342, 894, 904 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.