Online GCD Calculator is useful to find the GCD of 927, 555, 120, 315 quickly. Get the easiest ways to solve the greatest common divisor of 927, 555, 120, 315 i.e 3 in different methods as follows.
Given Input numbers are 927, 555, 120, 315
In the factoring method, we have to find the divisors of all numbers
Divisors of 927 :
The positive integer divisors of 927 that completely divides 927 are.
1, 3, 9, 103, 309, 927
Divisors of 555 :
The positive integer divisors of 555 that completely divides 555 are.
1, 3, 5, 15, 37, 111, 185, 555
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
GCD of numbers is the greatest common divisor
So, the GCD (927, 555, 120, 315) = 3.
Given numbers are 927, 555, 120, 315
The list of prime factors of all numbers are
Prime factors of 927 are 3 x 3 x 103
Prime factors of 555 are 3 x 5 x 37
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 315 are 3 x 3 x 5 x 7
The highest common occurrence is 31
Therefore, GCD of 927, 555, 120, 315 is 3.
Given numbers are 927, 555, 120, 315
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(927, 555) = 171495
GCD(927, 555) = ( 927 x 555 ) / 171495
= 927 / 555
= 927
Step2:
LCM(3, 120) = 120
GCD(3, 120) = ( 3 x 120 ) / 120
= 3 / 120
= 3
Step3:
LCM(3, 315) = 315
GCD(3, 315) = ( 3 x 315 ) / 315
= 3 / 315
= 3
So, Greatest Common Divisor of 927, 555, 120, 315 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 927, 555, 120, 315
The greatest common divisor of numbers 927, 555, 120, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 927, 555, 120, 315 is 3.
1. What is the GCD of 927, 555, 120, 315?
GCD of given numbers 927, 555, 120, 315 is 3
2. How to calculate the greatest common divisor of 927, 555, 120, 315?
We can find the highest common divisor of 927, 555, 120, 315 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 927, 555, 120, 315 i.e 3.
3. How can I use the GCD of 927, 555, 120, 315Calculator?
Out the numbers 927, 555, 120, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.