Online GCD Calculator is useful to find the GCD of 228, 362, 305, 372 quickly. Get the easiest ways to solve the greatest common divisor of 228, 362, 305, 372 i.e 1 in different methods as follows.
Given Input numbers are 228, 362, 305, 372
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 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
Divisors of 305 :
The positive integer divisors of 305 that completely divides 305 are.
1, 5, 61, 305
Divisors of 372 :
The positive integer divisors of 372 that completely divides 372 are.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
GCD of numbers is the greatest common divisor
So, the GCD (228, 362, 305, 372) = 1.
Given numbers are 228, 362, 305, 372
The list of prime factors of all numbers are
Prime factors of 228 are 2 x 2 x 3 x 19
Prime factors of 362 are 2 x 181
Prime factors of 305 are 5 x 61
Prime factors of 372 are 2 x 2 x 3 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 228, 362, 305, 372
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(228, 362) = 41268
GCD(228, 362) = ( 228 x 362 ) / 41268
= 228 / 362
= 228
Step2:
LCM(2, 305) = 610
GCD(2, 305) = ( 2 x 305 ) / 610
= 2 / 305
= 2
Step3:
LCM(1, 372) = 372
GCD(1, 372) = ( 1 x 372 ) / 372
= 1 / 372
= 1
So, Greatest Common Divisor of 228, 362, 305, 372 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 228, 362, 305, 372
The greatest common divisor of numbers 228, 362, 305, 372 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 362, 305, 372 is 1.
1. What is the GCD of 228, 362, 305, 372?
GCD of given numbers 228, 362, 305, 372 is 1
2. How to calculate the greatest common divisor of 228, 362, 305, 372?
We can find the highest common divisor of 228, 362, 305, 372 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, 362, 305, 372 i.e 1.
3. How can I use the GCD of 228, 362, 305, 372Calculator?
Out the numbers 228, 362, 305, 372 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.