Online GCD Calculator is useful to find the GCD of 108, 370, 186, 452 quickly. Get the easiest ways to solve the greatest common divisor of 108, 370, 186, 452 i.e 2 in different methods as follows.
Given Input numbers are 108, 370, 186, 452
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 186 :
The positive integer divisors of 186 that completely divides 186 are.
1, 2, 3, 6, 31, 62, 93, 186
Divisors of 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
GCD of numbers is the greatest common divisor
So, the GCD (108, 370, 186, 452) = 2.
Given numbers are 108, 370, 186, 452
The list of prime factors of all numbers are
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 370 are 2 x 5 x 37
Prime factors of 186 are 2 x 3 x 31
Prime factors of 452 are 2 x 2 x 113
The highest common occurrence is 21
Therefore, GCD of 108, 370, 186, 452 is 2.
Given numbers are 108, 370, 186, 452
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 370) = 19980
GCD(108, 370) = ( 108 x 370 ) / 19980
= 108 / 370
= 108
Step2:
LCM(2, 186) = 186
GCD(2, 186) = ( 2 x 186 ) / 186
= 2 / 186
= 2
Step3:
LCM(2, 452) = 452
GCD(2, 452) = ( 2 x 452 ) / 452
= 2 / 452
= 2
So, Greatest Common Divisor of 108, 370, 186, 452 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 108, 370, 186, 452
The greatest common divisor of numbers 108, 370, 186, 452 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 370, 186, 452 is 2.
1. What is the GCD of 108, 370, 186, 452?
GCD of given numbers 108, 370, 186, 452 is 2
2. How to calculate the greatest common divisor of 108, 370, 186, 452?
We can find the highest common divisor of 108, 370, 186, 452 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 108, 370, 186, 452 i.e 2.
3. How can I use the GCD of 108, 370, 186, 452Calculator?
Out the numbers 108, 370, 186, 452 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.