Online GCD Calculator is useful to find the GCD of 872, 935, 736, 180 quickly. Get the easiest ways to solve the greatest common divisor of 872, 935, 736, 180 i.e 1 in different methods as follows.
Given Input numbers are 872, 935, 736, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 935 :
The positive integer divisors of 935 that completely divides 935 are.
1, 5, 11, 17, 55, 85, 187, 935
Divisors of 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
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 (872, 935, 736, 180) = 1.
Given numbers are 872, 935, 736, 180
The list of prime factors of all numbers are
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 935 are 5 x 11 x 17
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
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 872, 935, 736, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(872, 935) = 815320
GCD(872, 935) = ( 872 x 935 ) / 815320
= 872 / 935
= 872
Step2:
LCM(1, 736) = 736
GCD(1, 736) = ( 1 x 736 ) / 736
= 1 / 736
= 1
Step3:
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
= 1 / 180
= 1
So, Greatest Common Divisor of 872, 935, 736, 180 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 872, 935, 736, 180
The greatest common divisor of numbers 872, 935, 736, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 935, 736, 180 is 1.
1. What is the GCD of 872, 935, 736, 180?
GCD of given numbers 872, 935, 736, 180 is 1
2. How to calculate the greatest common divisor of 872, 935, 736, 180?
We can find the highest common divisor of 872, 935, 736, 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 872, 935, 736, 180 i.e 1.
3. How can I use the GCD of 872, 935, 736, 180Calculator?
Out the numbers 872, 935, 736, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.