Online GCD Calculator is useful to find the GCD of 486, 255, 180, 477 quickly. Get the easiest ways to solve the greatest common divisor of 486, 255, 180, 477 i.e 3 in different methods as follows.
Given Input numbers are 486, 255, 180, 477
In the factoring method, we have to find the divisors of all numbers
Divisors of 486 :
The positive integer divisors of 486 that completely divides 486 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 255 :
The positive integer divisors of 255 that completely divides 255 are.
1, 3, 5, 15, 17, 51, 85, 255
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 477 :
The positive integer divisors of 477 that completely divides 477 are.
1, 3, 9, 53, 159, 477
GCD of numbers is the greatest common divisor
So, the GCD (486, 255, 180, 477) = 3.
Given numbers are 486, 255, 180, 477
The list of prime factors of all numbers are
Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 255 are 3 x 5 x 17
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 477 are 3 x 3 x 53
The highest common occurrence is 31
Therefore, GCD of 486, 255, 180, 477 is 3.
Given numbers are 486, 255, 180, 477
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(486, 255) = 41310
GCD(486, 255) = ( 486 x 255 ) / 41310
= 486 / 255
= 486
Step2:
LCM(3, 180) = 180
GCD(3, 180) = ( 3 x 180 ) / 180
= 3 / 180
= 3
Step3:
LCM(3, 477) = 477
GCD(3, 477) = ( 3 x 477 ) / 477
= 3 / 477
= 3
So, Greatest Common Divisor of 486, 255, 180, 477 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 486, 255, 180, 477
The greatest common divisor of numbers 486, 255, 180, 477 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 486, 255, 180, 477 is 3.
1. What is the GCD of 486, 255, 180, 477?
GCD of given numbers 486, 255, 180, 477 is 3
2. How to calculate the greatest common divisor of 486, 255, 180, 477?
We can find the highest common divisor of 486, 255, 180, 477 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 486, 255, 180, 477 i.e 3.
3. How can I use the GCD of 486, 255, 180, 477Calculator?
Out the numbers 486, 255, 180, 477 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.