Online GCD Calculator is useful to find the GCD of 308, 938, 198, 744 quickly. Get the easiest ways to solve the greatest common divisor of 308, 938, 198, 744 i.e 2 in different methods as follows.
Given Input numbers are 308, 938, 198, 744
In the factoring method, we have to find the divisors of all numbers
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
GCD of numbers is the greatest common divisor
So, the GCD (308, 938, 198, 744) = 2.
Given numbers are 308, 938, 198, 744
The list of prime factors of all numbers are
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 938 are 2 x 7 x 67
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
The highest common occurrence is 21
Therefore, GCD of 308, 938, 198, 744 is 2.
Given numbers are 308, 938, 198, 744
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(308, 938) = 20636
GCD(308, 938) = ( 308 x 938 ) / 20636
= 308 / 938
= 308
Step2:
LCM(14, 198) = 1386
GCD(14, 198) = ( 14 x 198 ) / 1386
= 14 / 198
= 14
Step3:
LCM(2, 744) = 744
GCD(2, 744) = ( 2 x 744 ) / 744
= 2 / 744
= 2
So, Greatest Common Divisor of 308, 938, 198, 744 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 308, 938, 198, 744
The greatest common divisor of numbers 308, 938, 198, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 938, 198, 744 is 2.
1. What is the GCD of 308, 938, 198, 744?
GCD of given numbers 308, 938, 198, 744 is 2
2. How to calculate the greatest common divisor of 308, 938, 198, 744?
We can find the highest common divisor of 308, 938, 198, 744 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 308, 938, 198, 744 i.e 2.
3. How can I use the GCD of 308, 938, 198, 744Calculator?
Out the numbers 308, 938, 198, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.