Online GCD Calculator is useful to find the GCD of 744, 114, 396, 232 quickly. Get the easiest ways to solve the greatest common divisor of 744, 114, 396, 232 i.e 2 in different methods as follows.
Given Input numbers are 744, 114, 396, 232
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 232 :
The positive integer divisors of 232 that completely divides 232 are.
1, 2, 4, 8, 29, 58, 116, 232
GCD of numbers is the greatest common divisor
So, the GCD (744, 114, 396, 232) = 2.
Given numbers are 744, 114, 396, 232
The list of prime factors of all numbers are
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 114 are 2 x 3 x 19
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 232 are 2 x 2 x 2 x 29
The highest common occurrence is 21
Therefore, GCD of 744, 114, 396, 232 is 2.
Given numbers are 744, 114, 396, 232
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(744, 114) = 14136
GCD(744, 114) = ( 744 x 114 ) / 14136
= 744 / 114
= 744
Step2:
LCM(6, 396) = 396
GCD(6, 396) = ( 6 x 396 ) / 396
= 6 / 396
= 6
Step3:
LCM(6, 232) = 696
GCD(6, 232) = ( 6 x 232 ) / 696
= 6 / 232
= 6
So, Greatest Common Divisor of 744, 114, 396, 232 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 744, 114, 396, 232
The greatest common divisor of numbers 744, 114, 396, 232 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 114, 396, 232 is 2.
1. What is the GCD of 744, 114, 396, 232?
GCD of given numbers 744, 114, 396, 232 is 2
2. How to calculate the greatest common divisor of 744, 114, 396, 232?
We can find the highest common divisor of 744, 114, 396, 232 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 744, 114, 396, 232 i.e 2.
3. How can I use the GCD of 744, 114, 396, 232Calculator?
Out the numbers 744, 114, 396, 232 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.