Online GCD Calculator is useful to find the GCD of 725, 296, 516, 180 quickly. Get the easiest ways to solve the greatest common divisor of 725, 296, 516, 180 i.e 1 in different methods as follows.
Given Input numbers are 725, 296, 516, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
Divisors of 296 :
The positive integer divisors of 296 that completely divides 296 are.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 516 :
The positive integer divisors of 516 that completely divides 516 are.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
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 (725, 296, 516, 180) = 1.
Given numbers are 725, 296, 516, 180
The list of prime factors of all numbers are
Prime factors of 725 are 5 x 5 x 29
Prime factors of 296 are 2 x 2 x 2 x 37
Prime factors of 516 are 2 x 2 x 3 x 43
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 725, 296, 516, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(725, 296) = 214600
GCD(725, 296) = ( 725 x 296 ) / 214600
= 725 / 296
= 725
Step2:
LCM(1, 516) = 516
GCD(1, 516) = ( 1 x 516 ) / 516
= 1 / 516
= 1
Step3:
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
= 1 / 180
= 1
So, Greatest Common Divisor of 725, 296, 516, 180 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 725, 296, 516, 180
The greatest common divisor of numbers 725, 296, 516, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 296, 516, 180 is 1.
1. What is the GCD of 725, 296, 516, 180?
GCD of given numbers 725, 296, 516, 180 is 1
2. How to calculate the greatest common divisor of 725, 296, 516, 180?
We can find the highest common divisor of 725, 296, 516, 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 725, 296, 516, 180 i.e 1.
3. How can I use the GCD of 725, 296, 516, 180Calculator?
Out the numbers 725, 296, 516, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.