Online GCD Calculator is useful to find the GCD of 162, 180, 573 quickly. Get the easiest ways to solve the greatest common divisor of 162, 180, 573 i.e 3 in different methods as follows.
Given Input numbers are 162, 180, 573
In the factoring method, we have to find the divisors of all numbers
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
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 573 :
The positive integer divisors of 573 that completely divides 573 are.
1, 3, 191, 573
GCD of numbers is the greatest common divisor
So, the GCD (162, 180, 573) = 3.
Given numbers are 162, 180, 573
The list of prime factors of all numbers are
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 573 are 3 x 191
The highest common occurrence is 31
Therefore, GCD of 162, 180, 573 is 3.
Given numbers are 162, 180, 573
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(162, 180) = 1620
GCD(162, 180) = ( 162 x 180 ) / 1620
= 162 / 180
= 162
Step2:
LCM(18, 573) = 3438
GCD(18, 573) = ( 18 x 573 ) / 3438
= 18 / 573
= 18
So, Greatest Common Divisor of 162, 180, 573 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 162, 180, 573
The greatest common divisor of numbers 162, 180, 573 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 180, 573 is 3.
1. What is the GCD of 162, 180, 573?
GCD of given numbers 162, 180, 573 is 3
2. How to calculate the greatest common divisor of 162, 180, 573?
We can find the highest common divisor of 162, 180, 573 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 162, 180, 573 i.e 3.
3. How can I use the GCD of 162, 180, 573Calculator?
Out the numbers 162, 180, 573 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.