Online GCD Calculator is useful to find the GCD of 348, 228, 255, 108 quickly. Get the easiest ways to solve the greatest common divisor of 348, 228, 255, 108 i.e 3 in different methods as follows.
Given Input numbers are 348, 228, 255, 108
In the factoring method, we have to find the divisors of all numbers
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
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 255 :
The positive integer divisors of 255 that completely divides 255 are.
1, 3, 5, 15, 17, 51, 85, 255
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
GCD of numbers is the greatest common divisor
So, the GCD (348, 228, 255, 108) = 3.
Given numbers are 348, 228, 255, 108
The list of prime factors of all numbers are
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 228 are 2 x 2 x 3 x 19
Prime factors of 255 are 3 x 5 x 17
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 348, 228, 255, 108 is 3.
Given numbers are 348, 228, 255, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(348, 228) = 6612
GCD(348, 228) = ( 348 x 228 ) / 6612
= 348 / 228
= 348
Step2:
LCM(12, 255) = 1020
GCD(12, 255) = ( 12 x 255 ) / 1020
= 12 / 255
= 12
Step3:
LCM(3, 108) = 108
GCD(3, 108) = ( 3 x 108 ) / 108
= 3 / 108
= 3
So, Greatest Common Divisor of 348, 228, 255, 108 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 348, 228, 255, 108
The greatest common divisor of numbers 348, 228, 255, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 228, 255, 108 is 3.
1. What is the GCD of 348, 228, 255, 108?
GCD of given numbers 348, 228, 255, 108 is 3
2. How to calculate the greatest common divisor of 348, 228, 255, 108?
We can find the highest common divisor of 348, 228, 255, 108 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 348, 228, 255, 108 i.e 3.
3. How can I use the GCD of 348, 228, 255, 108Calculator?
Out the numbers 348, 228, 255, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.