Online GCD Calculator is useful to find the GCD of 108, 869, 984, 119 quickly. Get the easiest ways to solve the greatest common divisor of 108, 869, 984, 119 i.e 1 in different methods as follows.
Given Input numbers are 108, 869, 984, 119
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 869 :
The positive integer divisors of 869 that completely divides 869 are.
1, 11, 79, 869
Divisors of 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 119 :
The positive integer divisors of 119 that completely divides 119 are.
1, 7, 17, 119
GCD of numbers is the greatest common divisor
So, the GCD (108, 869, 984, 119) = 1.
Given numbers are 108, 869, 984, 119
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 869 are 11 x 79
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
Prime factors of 119 are 7 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 108, 869, 984, 119
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 869) = 93852
GCD(108, 869) = ( 108 x 869 ) / 93852
= 108 / 869
= 108
Step2:
LCM(1, 984) = 984
GCD(1, 984) = ( 1 x 984 ) / 984
= 1 / 984
= 1
Step3:
LCM(1, 119) = 119
GCD(1, 119) = ( 1 x 119 ) / 119
= 1 / 119
= 1
So, Greatest Common Divisor of 108, 869, 984, 119 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 108, 869, 984, 119
The greatest common divisor of numbers 108, 869, 984, 119 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 869, 984, 119 is 1.
1. What is the GCD of 108, 869, 984, 119?
GCD of given numbers 108, 869, 984, 119 is 1
2. How to calculate the greatest common divisor of 108, 869, 984, 119?
We can find the highest common divisor of 108, 869, 984, 119 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, 869, 984, 119 i.e 1.
3. How can I use the GCD of 108, 869, 984, 119Calculator?
Out the numbers 108, 869, 984, 119 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.