Online GCD Calculator is useful to find the GCD of 971, 728, 180 quickly. Get the easiest ways to solve the greatest common divisor of 971, 728, 180 i.e 1 in different methods as follows.
Given Input numbers are 971, 728, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 971 :
The positive integer divisors of 971 that completely divides 971 are.
1, 971
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
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
GCD of numbers is the greatest common divisor
So, the GCD (971, 728, 180) = 1.
Given numbers are 971, 728, 180
The list of prime factors of all numbers are
Prime factors of 971 are 971
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 971, 728, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(971, 728) = 706888
GCD(971, 728) = ( 971 x 728 ) / 706888
= 971 / 728
= 971
Step2:
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
= 1 / 180
= 1
So, Greatest Common Divisor of 971, 728, 180 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 971, 728, 180
The greatest common divisor of numbers 971, 728, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 971, 728, 180 is 1.
1. What is the GCD of 971, 728, 180?
GCD of given numbers 971, 728, 180 is 1
2. How to calculate the greatest common divisor of 971, 728, 180?
We can find the highest common divisor of 971, 728, 180 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 971, 728, 180 i.e 1.
3. How can I use the GCD of 971, 728, 180Calculator?
Out the numbers 971, 728, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.