Online GCD Calculator is useful to find the GCD of 108, 110, 209, 918 quickly. Get the easiest ways to solve the greatest common divisor of 108, 110, 209, 918 i.e 1 in different methods as follows.
Given Input numbers are 108, 110, 209, 918
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 110 :
The positive integer divisors of 110 that completely divides 110 are.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 209 :
The positive integer divisors of 209 that completely divides 209 are.
1, 11, 19, 209
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
GCD of numbers is the greatest common divisor
So, the GCD (108, 110, 209, 918) = 1.
Given numbers are 108, 110, 209, 918
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 110 are 2 x 5 x 11
Prime factors of 209 are 11 x 19
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 108, 110, 209, 918
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 110) = 5940
GCD(108, 110) = ( 108 x 110 ) / 5940
= 108 / 110
= 108
Step2:
LCM(2, 209) = 418
GCD(2, 209) = ( 2 x 209 ) / 418
= 2 / 209
= 2
Step3:
LCM(1, 918) = 918
GCD(1, 918) = ( 1 x 918 ) / 918
= 1 / 918
= 1
So, Greatest Common Divisor of 108, 110, 209, 918 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 108, 110, 209, 918
The greatest common divisor of numbers 108, 110, 209, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 110, 209, 918 is 1.
1. What is the GCD of 108, 110, 209, 918?
GCD of given numbers 108, 110, 209, 918 is 1
2. How to calculate the greatest common divisor of 108, 110, 209, 918?
We can find the highest common divisor of 108, 110, 209, 918 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, 110, 209, 918 i.e 1.
3. How can I use the GCD of 108, 110, 209, 918Calculator?
Out the numbers 108, 110, 209, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.