Online GCD Calculator is useful to find the GCD of 500, 180, 558, 362 quickly. Get the easiest ways to solve the greatest common divisor of 500, 180, 558, 362 i.e 2 in different methods as follows.
Given Input numbers are 500, 180, 558, 362
In the factoring method, we have to find the divisors of all numbers
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
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 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
GCD of numbers is the greatest common divisor
So, the GCD (500, 180, 558, 362) = 2.
Given numbers are 500, 180, 558, 362
The list of prime factors of all numbers are
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 362 are 2 x 181
The highest common occurrence is 21
Therefore, GCD of 500, 180, 558, 362 is 2.
Given numbers are 500, 180, 558, 362
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(500, 180) = 4500
GCD(500, 180) = ( 500 x 180 ) / 4500
= 500 / 180
= 500
Step2:
LCM(20, 558) = 5580
GCD(20, 558) = ( 20 x 558 ) / 5580
= 20 / 558
= 20
Step3:
LCM(2, 362) = 362
GCD(2, 362) = ( 2 x 362 ) / 362
= 2 / 362
= 2
So, Greatest Common Divisor of 500, 180, 558, 362 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 500, 180, 558, 362
The greatest common divisor of numbers 500, 180, 558, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 180, 558, 362 is 2.
1. What is the GCD of 500, 180, 558, 362?
GCD of given numbers 500, 180, 558, 362 is 2
2. How to calculate the greatest common divisor of 500, 180, 558, 362?
We can find the highest common divisor of 500, 180, 558, 362 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 500, 180, 558, 362 i.e 2.
3. How can I use the GCD of 500, 180, 558, 362Calculator?
Out the numbers 500, 180, 558, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.