Online GCD Calculator is useful to find the GCD of 480, 648, 555, 555 quickly. Get the easiest ways to solve the greatest common divisor of 480, 648, 555, 555 i.e 3 in different methods as follows.
Given Input numbers are 480, 648, 555, 555
In the factoring method, we have to find the divisors of all numbers
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 555 :
The positive integer divisors of 555 that completely divides 555 are.
1, 3, 5, 15, 37, 111, 185, 555
Divisors of 555 :
The positive integer divisors of 555 that completely divides 555 are.
1, 3, 5, 15, 37, 111, 185, 555
GCD of numbers is the greatest common divisor
So, the GCD (480, 648, 555, 555) = 3.
Given numbers are 480, 648, 555, 555
The list of prime factors of all numbers are
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 555 are 3 x 5 x 37
Prime factors of 555 are 3 x 5 x 37
The highest common occurrence is 31
Therefore, GCD of 480, 648, 555, 555 is 3.
Given numbers are 480, 648, 555, 555
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(480, 648) = 12960
GCD(480, 648) = ( 480 x 648 ) / 12960
= 480 / 648
= 480
Step2:
LCM(24, 555) = 4440
GCD(24, 555) = ( 24 x 555 ) / 4440
= 24 / 555
= 24
Step3:
LCM(3, 555) = 555
GCD(3, 555) = ( 3 x 555 ) / 555
= 3 / 555
= 3
So, Greatest Common Divisor of 480, 648, 555, 555 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 480, 648, 555, 555
The greatest common divisor of numbers 480, 648, 555, 555 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 648, 555, 555 is 3.
1. What is the GCD of 480, 648, 555, 555?
GCD of given numbers 480, 648, 555, 555 is 3
2. How to calculate the greatest common divisor of 480, 648, 555, 555?
We can find the highest common divisor of 480, 648, 555, 555 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 480, 648, 555, 555 i.e 3.
3. How can I use the GCD of 480, 648, 555, 555Calculator?
Out the numbers 480, 648, 555, 555 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.