Online GCD Calculator is useful to find the GCD of 180, 355, 485, 106 quickly. Get the easiest ways to solve the greatest common divisor of 180, 355, 485, 106 i.e 1 in different methods as follows.
Given Input numbers are 180, 355, 485, 106
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 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
Divisors of 485 :
The positive integer divisors of 485 that completely divides 485 are.
1, 5, 97, 485
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
GCD of numbers is the greatest common divisor
So, the GCD (180, 355, 485, 106) = 1.
Given numbers are 180, 355, 485, 106
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 355 are 5 x 71
Prime factors of 485 are 5 x 97
Prime factors of 106 are 2 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 180, 355, 485, 106
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 355) = 12780
GCD(180, 355) = ( 180 x 355 ) / 12780
= 180 / 355
= 180
Step2:
LCM(5, 485) = 485
GCD(5, 485) = ( 5 x 485 ) / 485
= 5 / 485
= 5
Step3:
LCM(5, 106) = 530
GCD(5, 106) = ( 5 x 106 ) / 530
= 5 / 106
= 5
So, Greatest Common Divisor of 180, 355, 485, 106 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 355, 485, 106
The greatest common divisor of numbers 180, 355, 485, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 355, 485, 106 is 1.
1. What is the GCD of 180, 355, 485, 106?
GCD of given numbers 180, 355, 485, 106 is 1
2. How to calculate the greatest common divisor of 180, 355, 485, 106?
We can find the highest common divisor of 180, 355, 485, 106 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, 355, 485, 106 i.e 1.
3. How can I use the GCD of 180, 355, 485, 106Calculator?
Out the numbers 180, 355, 485, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.