Online GCD Calculator is useful to find the GCD of 738, 882, 226, 394 quickly. Get the easiest ways to solve the greatest common divisor of 738, 882, 226, 394 i.e 2 in different methods as follows.
Given Input numbers are 738, 882, 226, 394
In the factoring method, we have to find the divisors of all numbers
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 882 :
The positive integer divisors of 882 that completely divides 882 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 226 :
The positive integer divisors of 226 that completely divides 226 are.
1, 2, 113, 226
Divisors of 394 :
The positive integer divisors of 394 that completely divides 394 are.
1, 2, 197, 394
GCD of numbers is the greatest common divisor
So, the GCD (738, 882, 226, 394) = 2.
Given numbers are 738, 882, 226, 394
The list of prime factors of all numbers are
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
Prime factors of 226 are 2 x 113
Prime factors of 394 are 2 x 197
The highest common occurrence is 21
Therefore, GCD of 738, 882, 226, 394 is 2.
Given numbers are 738, 882, 226, 394
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(738, 882) = 36162
GCD(738, 882) = ( 738 x 882 ) / 36162
= 738 / 882
= 738
Step2:
LCM(18, 226) = 2034
GCD(18, 226) = ( 18 x 226 ) / 2034
= 18 / 226
= 18
Step3:
LCM(2, 394) = 394
GCD(2, 394) = ( 2 x 394 ) / 394
= 2 / 394
= 2
So, Greatest Common Divisor of 738, 882, 226, 394 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 738, 882, 226, 394
The greatest common divisor of numbers 738, 882, 226, 394 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 882, 226, 394 is 2.
1. What is the GCD of 738, 882, 226, 394?
GCD of given numbers 738, 882, 226, 394 is 2
2. How to calculate the greatest common divisor of 738, 882, 226, 394?
We can find the highest common divisor of 738, 882, 226, 394 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 738, 882, 226, 394 i.e 2.
3. How can I use the GCD of 738, 882, 226, 394Calculator?
Out the numbers 738, 882, 226, 394 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.