Online GCD Calculator is useful to find the GCD of 228, 675, 885, 837 quickly. Get the easiest ways to solve the greatest common divisor of 228, 675, 885, 837 i.e 3 in different methods as follows.
Given Input numbers are 228, 675, 885, 837
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 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 885 :
The positive integer divisors of 885 that completely divides 885 are.
1, 3, 5, 15, 59, 177, 295, 885
Divisors of 837 :
The positive integer divisors of 837 that completely divides 837 are.
1, 3, 9, 27, 31, 93, 279, 837
GCD of numbers is the greatest common divisor
So, the GCD (228, 675, 885, 837) = 3.
Given numbers are 228, 675, 885, 837
The list of prime factors of all numbers are
Prime factors of 228 are 2 x 2 x 3 x 19
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 885 are 3 x 5 x 59
Prime factors of 837 are 3 x 3 x 3 x 31
The highest common occurrence is 31
Therefore, GCD of 228, 675, 885, 837 is 3.
Given numbers are 228, 675, 885, 837
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(228, 675) = 51300
GCD(228, 675) = ( 228 x 675 ) / 51300
= 228 / 675
= 228
Step2:
LCM(3, 885) = 885
GCD(3, 885) = ( 3 x 885 ) / 885
= 3 / 885
= 3
Step3:
LCM(3, 837) = 837
GCD(3, 837) = ( 3 x 837 ) / 837
= 3 / 837
= 3
So, Greatest Common Divisor of 228, 675, 885, 837 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 228, 675, 885, 837
The greatest common divisor of numbers 228, 675, 885, 837 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 675, 885, 837 is 3.
1. What is the GCD of 228, 675, 885, 837?
GCD of given numbers 228, 675, 885, 837 is 3
2. How to calculate the greatest common divisor of 228, 675, 885, 837?
We can find the highest common divisor of 228, 675, 885, 837 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, 675, 885, 837 i.e 3.
3. How can I use the GCD of 228, 675, 885, 837Calculator?
Out the numbers 228, 675, 885, 837 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.