Online GCD Calculator is useful to find the GCD of 732, 114, 198, 432 quickly. Get the easiest ways to solve the greatest common divisor of 732, 114, 198, 432 i.e 6 in different methods as follows.
Given Input numbers are 732, 114, 198, 432
In the factoring method, we have to find the divisors of all numbers
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
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 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
GCD of numbers is the greatest common divisor
So, the GCD (732, 114, 198, 432) = 6.
Given numbers are 732, 114, 198, 432
The list of prime factors of all numbers are
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 114 are 2 x 3 x 19
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 21 x 31
Therefore, GCD of 732, 114, 198, 432 is 6.
Given numbers are 732, 114, 198, 432
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(732, 114) = 13908
GCD(732, 114) = ( 732 x 114 ) / 13908
= 732 / 114
= 732
Step2:
LCM(6, 198) = 198
GCD(6, 198) = ( 6 x 198 ) / 198
= 6 / 198
= 6
Step3:
LCM(6, 432) = 432
GCD(6, 432) = ( 6 x 432 ) / 432
= 6 / 432
= 6
So, Greatest Common Divisor of 732, 114, 198, 432 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 732, 114, 198, 432
The greatest common divisor of numbers 732, 114, 198, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 114, 198, 432 is 6.
1. What is the GCD of 732, 114, 198, 432?
GCD of given numbers 732, 114, 198, 432 is 6
2. How to calculate the greatest common divisor of 732, 114, 198, 432?
We can find the highest common divisor of 732, 114, 198, 432 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 732, 114, 198, 432 i.e 6.
3. How can I use the GCD of 732, 114, 198, 432Calculator?
Out the numbers 732, 114, 198, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.