Online GCD Calculator is useful to find the GCD of 362, 180, 322, 518 quickly. Get the easiest ways to solve the greatest common divisor of 362, 180, 322, 518 i.e 2 in different methods as follows.
Given Input numbers are 362, 180, 322, 518
In the factoring method, we have to find the divisors of all numbers
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
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 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
GCD of numbers is the greatest common divisor
So, the GCD (362, 180, 322, 518) = 2.
Given numbers are 362, 180, 322, 518
The list of prime factors of all numbers are
Prime factors of 362 are 2 x 181
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 322 are 2 x 7 x 23
Prime factors of 518 are 2 x 7 x 37
The highest common occurrence is 21
Therefore, GCD of 362, 180, 322, 518 is 2.
Given numbers are 362, 180, 322, 518
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(362, 180) = 32580
GCD(362, 180) = ( 362 x 180 ) / 32580
= 362 / 180
= 362
Step2:
LCM(2, 322) = 322
GCD(2, 322) = ( 2 x 322 ) / 322
= 2 / 322
= 2
Step3:
LCM(2, 518) = 518
GCD(2, 518) = ( 2 x 518 ) / 518
= 2 / 518
= 2
So, Greatest Common Divisor of 362, 180, 322, 518 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 362, 180, 322, 518
The greatest common divisor of numbers 362, 180, 322, 518 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 180, 322, 518 is 2.
1. What is the GCD of 362, 180, 322, 518?
GCD of given numbers 362, 180, 322, 518 is 2
2. How to calculate the greatest common divisor of 362, 180, 322, 518?
We can find the highest common divisor of 362, 180, 322, 518 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 362, 180, 322, 518 i.e 2.
3. How can I use the GCD of 362, 180, 322, 518Calculator?
Out the numbers 362, 180, 322, 518 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.