Online GCD Calculator is useful to find the GCD of 997, 180, 721, 994 quickly. Get the easiest ways to solve the greatest common divisor of 997, 180, 721, 994 i.e 1 in different methods as follows.
Given Input numbers are 997, 180, 721, 994
In the factoring method, we have to find the divisors of all numbers
Divisors of 997 :
The positive integer divisors of 997 that completely divides 997 are.
1, 997
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 721 :
The positive integer divisors of 721 that completely divides 721 are.
1, 7, 103, 721
Divisors of 994 :
The positive integer divisors of 994 that completely divides 994 are.
1, 2, 7, 14, 71, 142, 497, 994
GCD of numbers is the greatest common divisor
So, the GCD (997, 180, 721, 994) = 1.
Given numbers are 997, 180, 721, 994
The list of prime factors of all numbers are
Prime factors of 997 are 997
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 721 are 7 x 103
Prime factors of 994 are 2 x 7 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 997, 180, 721, 994
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(997, 180) = 179460
GCD(997, 180) = ( 997 x 180 ) / 179460
= 997 / 180
= 997
Step2:
LCM(1, 721) = 721
GCD(1, 721) = ( 1 x 721 ) / 721
= 1 / 721
= 1
Step3:
LCM(1, 994) = 994
GCD(1, 994) = ( 1 x 994 ) / 994
= 1 / 994
= 1
So, Greatest Common Divisor of 997, 180, 721, 994 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 997, 180, 721, 994
The greatest common divisor of numbers 997, 180, 721, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 997, 180, 721, 994 is 1.
1. What is the GCD of 997, 180, 721, 994?
GCD of given numbers 997, 180, 721, 994 is 1
2. How to calculate the greatest common divisor of 997, 180, 721, 994?
We can find the highest common divisor of 997, 180, 721, 994 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 997, 180, 721, 994 i.e 1.
3. How can I use the GCD of 997, 180, 721, 994Calculator?
Out the numbers 997, 180, 721, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.