Online GCD Calculator is useful to find the GCD of 660, 432, 116, 324 quickly. Get the easiest ways to solve the greatest common divisor of 660, 432, 116, 324 i.e 4 in different methods as follows.
Given Input numbers are 660, 432, 116, 324
In the factoring method, we have to find the divisors of all numbers
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
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
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
GCD of numbers is the greatest common divisor
So, the GCD (660, 432, 116, 324) = 4.
Given numbers are 660, 432, 116, 324
The list of prime factors of all numbers are
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 116 are 2 x 2 x 29
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
The highest common occurrence is 22
Therefore, GCD of 660, 432, 116, 324 is 4.
Given numbers are 660, 432, 116, 324
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(660, 432) = 23760
GCD(660, 432) = ( 660 x 432 ) / 23760
= 660 / 432
= 660
Step2:
LCM(12, 116) = 348
GCD(12, 116) = ( 12 x 116 ) / 348
= 12 / 116
= 12
Step3:
LCM(4, 324) = 324
GCD(4, 324) = ( 4 x 324 ) / 324
= 4 / 324
= 4
So, Greatest Common Divisor of 660, 432, 116, 324 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 660, 432, 116, 324
The greatest common divisor of numbers 660, 432, 116, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 432, 116, 324 is 4.
1. What is the GCD of 660, 432, 116, 324?
GCD of given numbers 660, 432, 116, 324 is 4
2. How to calculate the greatest common divisor of 660, 432, 116, 324?
We can find the highest common divisor of 660, 432, 116, 324 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 660, 432, 116, 324 i.e 4.
3. How can I use the GCD of 660, 432, 116, 324Calculator?
Out the numbers 660, 432, 116, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.