Online GCD Calculator is useful to find the GCD of 828, 498, 165, 228 quickly. Get the easiest ways to solve the greatest common divisor of 828, 498, 165, 228 i.e 3 in different methods as follows.
Given Input numbers are 828, 498, 165, 228
In the factoring method, we have to find the divisors of all numbers
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
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
GCD of numbers is the greatest common divisor
So, the GCD (828, 498, 165, 228) = 3.
Given numbers are 828, 498, 165, 228
The list of prime factors of all numbers are
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 498 are 2 x 3 x 83
Prime factors of 165 are 3 x 5 x 11
Prime factors of 228 are 2 x 2 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 828, 498, 165, 228 is 3.
Given numbers are 828, 498, 165, 228
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 498) = 68724
GCD(828, 498) = ( 828 x 498 ) / 68724
= 828 / 498
= 828
Step2:
LCM(6, 165) = 330
GCD(6, 165) = ( 6 x 165 ) / 330
= 6 / 165
= 6
Step3:
LCM(3, 228) = 228
GCD(3, 228) = ( 3 x 228 ) / 228
= 3 / 228
= 3
So, Greatest Common Divisor of 828, 498, 165, 228 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 828, 498, 165, 228
The greatest common divisor of numbers 828, 498, 165, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 498, 165, 228 is 3.
1. What is the GCD of 828, 498, 165, 228?
GCD of given numbers 828, 498, 165, 228 is 3
2. How to calculate the greatest common divisor of 828, 498, 165, 228?
We can find the highest common divisor of 828, 498, 165, 228 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 828, 498, 165, 228 i.e 3.
3. How can I use the GCD of 828, 498, 165, 228Calculator?
Out the numbers 828, 498, 165, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.