Online GCD Calculator is useful to find the GCD of 108, 123, 814, 102 quickly. Get the easiest ways to solve the greatest common divisor of 108, 123, 814, 102 i.e 1 in different methods as follows.
Given Input numbers are 108, 123, 814, 102
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 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
GCD of numbers is the greatest common divisor
So, the GCD (108, 123, 814, 102) = 1.
Given numbers are 108, 123, 814, 102
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 123 are 3 x 41
Prime factors of 814 are 2 x 11 x 37
Prime factors of 102 are 2 x 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 108, 123, 814, 102
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 123) = 4428
GCD(108, 123) = ( 108 x 123 ) / 4428
= 108 / 123
= 108
Step2:
LCM(3, 814) = 2442
GCD(3, 814) = ( 3 x 814 ) / 2442
= 3 / 814
= 3
Step3:
LCM(1, 102) = 102
GCD(1, 102) = ( 1 x 102 ) / 102
= 1 / 102
= 1
So, Greatest Common Divisor of 108, 123, 814, 102 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 108, 123, 814, 102
The greatest common divisor of numbers 108, 123, 814, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 123, 814, 102 is 1.
1. What is the GCD of 108, 123, 814, 102?
GCD of given numbers 108, 123, 814, 102 is 1
2. How to calculate the greatest common divisor of 108, 123, 814, 102?
We can find the highest common divisor of 108, 123, 814, 102 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, 123, 814, 102 i.e 1.
3. How can I use the GCD of 108, 123, 814, 102Calculator?
Out the numbers 108, 123, 814, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.