Online GCD Calculator is useful to find the GCD of 120, 363, 902, 108 quickly. Get the easiest ways to solve the greatest common divisor of 120, 363, 902, 108 i.e 1 in different methods as follows.
Given Input numbers are 120, 363, 902, 108
In the factoring method, we have to find the divisors of all numbers
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
Divisors of 902 :
The positive integer divisors of 902 that completely divides 902 are.
1, 2, 11, 22, 41, 82, 451, 902
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 (120, 363, 902, 108) = 1.
Given numbers are 120, 363, 902, 108
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 363 are 3 x 11 x 11
Prime factors of 902 are 2 x 11 x 41
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 120, 363, 902, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 363) = 14520
GCD(120, 363) = ( 120 x 363 ) / 14520
= 120 / 363
= 120
Step2:
LCM(3, 902) = 2706
GCD(3, 902) = ( 3 x 902 ) / 2706
= 3 / 902
= 3
Step3:
LCM(1, 108) = 108
GCD(1, 108) = ( 1 x 108 ) / 108
= 1 / 108
= 1
So, Greatest Common Divisor of 120, 363, 902, 108 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 363, 902, 108
The greatest common divisor of numbers 120, 363, 902, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 363, 902, 108 is 1.
1. What is the GCD of 120, 363, 902, 108?
GCD of given numbers 120, 363, 902, 108 is 1
2. How to calculate the greatest common divisor of 120, 363, 902, 108?
We can find the highest common divisor of 120, 363, 902, 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 120, 363, 902, 108 i.e 1.
3. How can I use the GCD of 120, 363, 902, 108Calculator?
Out the numbers 120, 363, 902, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.