Online GCD Calculator is useful to find the GCD of 228, 270, 621, 960 quickly. Get the easiest ways to solve the greatest common divisor of 228, 270, 621, 960 i.e 3 in different methods as follows.
Given Input numbers are 228, 270, 621, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 228 :
The positive integer divisors of 228 that completely divides 228 are.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 621 :
The positive integer divisors of 621 that completely divides 621 are.
1, 3, 9, 23, 27, 69, 207, 621
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
GCD of numbers is the greatest common divisor
So, the GCD (228, 270, 621, 960) = 3.
Given numbers are 228, 270, 621, 960
The list of prime factors of all numbers are
Prime factors of 228 are 2 x 2 x 3 x 19
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 621 are 3 x 3 x 3 x 23
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 228, 270, 621, 960 is 3.
Given numbers are 228, 270, 621, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(228, 270) = 10260
GCD(228, 270) = ( 228 x 270 ) / 10260
= 228 / 270
= 228
Step2:
LCM(6, 621) = 1242
GCD(6, 621) = ( 6 x 621 ) / 1242
= 6 / 621
= 6
Step3:
LCM(3, 960) = 960
GCD(3, 960) = ( 3 x 960 ) / 960
= 3 / 960
= 3
So, Greatest Common Divisor of 228, 270, 621, 960 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 228, 270, 621, 960
The greatest common divisor of numbers 228, 270, 621, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 270, 621, 960 is 3.
1. What is the GCD of 228, 270, 621, 960?
GCD of given numbers 228, 270, 621, 960 is 3
2. How to calculate the greatest common divisor of 228, 270, 621, 960?
We can find the highest common divisor of 228, 270, 621, 960 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 228, 270, 621, 960 i.e 3.
3. How can I use the GCD of 228, 270, 621, 960Calculator?
Out the numbers 228, 270, 621, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.