Online GCD Calculator is useful to find the GCD of 228, 216, 172, 993 quickly. Get the easiest ways to solve the greatest common divisor of 228, 216, 172, 993 i.e 1 in different methods as follows.
Given Input numbers are 228, 216, 172, 993
In the factoring method, we have to find the divisors of all numbers
Divisors of 228 :
The positive integer divisors of 228 that completely divides 228 are.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 993 :
The positive integer divisors of 993 that completely divides 993 are.
1, 3, 331, 993
GCD of numbers is the greatest common divisor
So, the GCD (228, 216, 172, 993) = 1.
Given numbers are 228, 216, 172, 993
The list of prime factors of all numbers are
Prime factors of 228 are 2 x 2 x 3 x 19
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 172 are 2 x 2 x 43
Prime factors of 993 are 3 x 331
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 228, 216, 172, 993
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(228, 216) = 4104
GCD(228, 216) = ( 228 x 216 ) / 4104
= 228 / 216
= 228
Step2:
LCM(12, 172) = 516
GCD(12, 172) = ( 12 x 172 ) / 516
= 12 / 172
= 12
Step3:
LCM(4, 993) = 3972
GCD(4, 993) = ( 4 x 993 ) / 3972
= 4 / 993
= 4
So, Greatest Common Divisor of 228, 216, 172, 993 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 228, 216, 172, 993
The greatest common divisor of numbers 228, 216, 172, 993 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 216, 172, 993 is 1.
1. What is the GCD of 228, 216, 172, 993?
GCD of given numbers 228, 216, 172, 993 is 1
2. How to calculate the greatest common divisor of 228, 216, 172, 993?
We can find the highest common divisor of 228, 216, 172, 993 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 228, 216, 172, 993 i.e 1.
3. How can I use the GCD of 228, 216, 172, 993Calculator?
Out the numbers 228, 216, 172, 993 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.