Online GCD Calculator is useful to find the GCD of 180, 527, 104, 345 quickly. Get the easiest ways to solve the greatest common divisor of 180, 527, 104, 345 i.e 1 in different methods as follows.
Given Input numbers are 180, 527, 104, 345
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 527 :
The positive integer divisors of 527 that completely divides 527 are.
1, 17, 31, 527
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
GCD of numbers is the greatest common divisor
So, the GCD (180, 527, 104, 345) = 1.
Given numbers are 180, 527, 104, 345
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 527 are 17 x 31
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 345 are 3 x 5 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 180, 527, 104, 345
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 527) = 94860
GCD(180, 527) = ( 180 x 527 ) / 94860
= 180 / 527
= 180
Step2:
LCM(1, 104) = 104
GCD(1, 104) = ( 1 x 104 ) / 104
= 1 / 104
= 1
Step3:
LCM(1, 345) = 345
GCD(1, 345) = ( 1 x 345 ) / 345
= 1 / 345
= 1
So, Greatest Common Divisor of 180, 527, 104, 345 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 527, 104, 345
The greatest common divisor of numbers 180, 527, 104, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 527, 104, 345 is 1.
1. What is the GCD of 180, 527, 104, 345?
GCD of given numbers 180, 527, 104, 345 is 1
2. How to calculate the greatest common divisor of 180, 527, 104, 345?
We can find the highest common divisor of 180, 527, 104, 345 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, 527, 104, 345 i.e 1.
3. How can I use the GCD of 180, 527, 104, 345Calculator?
Out the numbers 180, 527, 104, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.