Online GCD Calculator is useful to find the GCD of 668, 314, 180, 721 quickly. Get the easiest ways to solve the greatest common divisor of 668, 314, 180, 721 i.e 1 in different methods as follows.
Given Input numbers are 668, 314, 180, 721
In the factoring method, we have to find the divisors of all numbers
Divisors of 668 :
The positive integer divisors of 668 that completely divides 668 are.
1, 2, 4, 167, 334, 668
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
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
GCD of numbers is the greatest common divisor
So, the GCD (668, 314, 180, 721) = 1.
Given numbers are 668, 314, 180, 721
The list of prime factors of all numbers are
Prime factors of 668 are 2 x 2 x 167
Prime factors of 314 are 2 x 157
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 721 are 7 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 668, 314, 180, 721
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(668, 314) = 104876
GCD(668, 314) = ( 668 x 314 ) / 104876
= 668 / 314
= 668
Step2:
LCM(2, 180) = 180
GCD(2, 180) = ( 2 x 180 ) / 180
= 2 / 180
= 2
Step3:
LCM(2, 721) = 1442
GCD(2, 721) = ( 2 x 721 ) / 1442
= 2 / 721
= 2
So, Greatest Common Divisor of 668, 314, 180, 721 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 668, 314, 180, 721
The greatest common divisor of numbers 668, 314, 180, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 668, 314, 180, 721 is 1.
1. What is the GCD of 668, 314, 180, 721?
GCD of given numbers 668, 314, 180, 721 is 1
2. How to calculate the greatest common divisor of 668, 314, 180, 721?
We can find the highest common divisor of 668, 314, 180, 721 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 668, 314, 180, 721 i.e 1.
3. How can I use the GCD of 668, 314, 180, 721Calculator?
Out the numbers 668, 314, 180, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.