Online GCD Calculator is useful to find the GCD of 103, 859, 522, 180 quickly. Get the easiest ways to solve the greatest common divisor of 103, 859, 522, 180 i.e 1 in different methods as follows.
Given Input numbers are 103, 859, 522, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 103 :
The positive integer divisors of 103 that completely divides 103 are.
1, 103
Divisors of 859 :
The positive integer divisors of 859 that completely divides 859 are.
1, 859
Divisors of 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
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 (103, 859, 522, 180) = 1.
Given numbers are 103, 859, 522, 180
The list of prime factors of all numbers are
Prime factors of 103 are 103
Prime factors of 859 are 859
Prime factors of 522 are 2 x 3 x 3 x 29
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 103, 859, 522, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(103, 859) = 88477
GCD(103, 859) = ( 103 x 859 ) / 88477
= 103 / 859
= 103
Step2:
LCM(1, 522) = 522
GCD(1, 522) = ( 1 x 522 ) / 522
= 1 / 522
= 1
Step3:
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
= 1 / 180
= 1
So, Greatest Common Divisor of 103, 859, 522, 180 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 103, 859, 522, 180
The greatest common divisor of numbers 103, 859, 522, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 103, 859, 522, 180 is 1.
1. What is the GCD of 103, 859, 522, 180?
GCD of given numbers 103, 859, 522, 180 is 1
2. How to calculate the greatest common divisor of 103, 859, 522, 180?
We can find the highest common divisor of 103, 859, 522, 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 103, 859, 522, 180 i.e 1.
3. How can I use the GCD of 103, 859, 522, 180Calculator?
Out the numbers 103, 859, 522, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.