Online GCD Calculator is useful to find the GCD of 180, 656, 791, 684 quickly. Get the easiest ways to solve the greatest common divisor of 180, 656, 791, 684 i.e 1 in different methods as follows.
Given Input numbers are 180, 656, 791, 684
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 656 :
The positive integer divisors of 656 that completely divides 656 are.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 791 :
The positive integer divisors of 791 that completely divides 791 are.
1, 7, 113, 791
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
GCD of numbers is the greatest common divisor
So, the GCD (180, 656, 791, 684) = 1.
Given numbers are 180, 656, 791, 684
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 656 are 2 x 2 x 2 x 2 x 41
Prime factors of 791 are 7 x 113
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 180, 656, 791, 684
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 656) = 29520
GCD(180, 656) = ( 180 x 656 ) / 29520
= 180 / 656
= 180
Step2:
LCM(4, 791) = 3164
GCD(4, 791) = ( 4 x 791 ) / 3164
= 4 / 791
= 4
Step3:
LCM(1, 684) = 684
GCD(1, 684) = ( 1 x 684 ) / 684
= 1 / 684
= 1
So, Greatest Common Divisor of 180, 656, 791, 684 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 656, 791, 684
The greatest common divisor of numbers 180, 656, 791, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 656, 791, 684 is 1.
1. What is the GCD of 180, 656, 791, 684?
GCD of given numbers 180, 656, 791, 684 is 1
2. How to calculate the greatest common divisor of 180, 656, 791, 684?
We can find the highest common divisor of 180, 656, 791, 684 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, 656, 791, 684 i.e 1.
3. How can I use the GCD of 180, 656, 791, 684Calculator?
Out the numbers 180, 656, 791, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.