Online GCD Calculator is useful to find the GCD of 228, 182, 498, 988 quickly. Get the easiest ways to solve the greatest common divisor of 228, 182, 498, 988 i.e 2 in different methods as follows.
Given Input numbers are 228, 182, 498, 988
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 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
GCD of numbers is the greatest common divisor
So, the GCD (228, 182, 498, 988) = 2.
Given numbers are 228, 182, 498, 988
The list of prime factors of all numbers are
Prime factors of 228 are 2 x 2 x 3 x 19
Prime factors of 182 are 2 x 7 x 13
Prime factors of 498 are 2 x 3 x 83
Prime factors of 988 are 2 x 2 x 13 x 19
The highest common occurrence is 21
Therefore, GCD of 228, 182, 498, 988 is 2.
Given numbers are 228, 182, 498, 988
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(228, 182) = 20748
GCD(228, 182) = ( 228 x 182 ) / 20748
= 228 / 182
= 228
Step2:
LCM(2, 498) = 498
GCD(2, 498) = ( 2 x 498 ) / 498
= 2 / 498
= 2
Step3:
LCM(2, 988) = 988
GCD(2, 988) = ( 2 x 988 ) / 988
= 2 / 988
= 2
So, Greatest Common Divisor of 228, 182, 498, 988 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 228, 182, 498, 988
The greatest common divisor of numbers 228, 182, 498, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 182, 498, 988 is 2.
1. What is the GCD of 228, 182, 498, 988?
GCD of given numbers 228, 182, 498, 988 is 2
2. How to calculate the greatest common divisor of 228, 182, 498, 988?
We can find the highest common divisor of 228, 182, 498, 988 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, 182, 498, 988 i.e 2.
3. How can I use the GCD of 228, 182, 498, 988Calculator?
Out the numbers 228, 182, 498, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.