Online GCD Calculator is useful to find the GCD of 180, 991, 123, 984 quickly. Get the easiest ways to solve the greatest common divisor of 180, 991, 123, 984 i.e 1 in different methods as follows.
Given Input numbers are 180, 991, 123, 984
In the factoring method, we have to find the divisors of all numbers
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 991 :
The positive integer divisors of 991 that completely divides 991 are.
1, 991
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
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
GCD of numbers is the greatest common divisor
So, the GCD (180, 991, 123, 984) = 1.
Given numbers are 180, 991, 123, 984
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 991 are 991
Prime factors of 123 are 3 x 41
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 180, 991, 123, 984
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 991) = 178380
GCD(180, 991) = ( 180 x 991 ) / 178380
= 180 / 991
= 180
Step2:
LCM(1, 123) = 123
GCD(1, 123) = ( 1 x 123 ) / 123
= 1 / 123
= 1
Step3:
LCM(1, 984) = 984
GCD(1, 984) = ( 1 x 984 ) / 984
= 1 / 984
= 1
So, Greatest Common Divisor of 180, 991, 123, 984 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 991, 123, 984
The greatest common divisor of numbers 180, 991, 123, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 991, 123, 984 is 1.
1. What is the GCD of 180, 991, 123, 984?
GCD of given numbers 180, 991, 123, 984 is 1
2. How to calculate the greatest common divisor of 180, 991, 123, 984?
We can find the highest common divisor of 180, 991, 123, 984 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 180, 991, 123, 984 i.e 1.
3. How can I use the GCD of 180, 991, 123, 984Calculator?
Out the numbers 180, 991, 123, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.