Online GCD Calculator is useful to find the GCD of 398, 218, 844, 996 quickly. Get the easiest ways to solve the greatest common divisor of 398, 218, 844, 996 i.e 2 in different methods as follows.
Given Input numbers are 398, 218, 844, 996
In the factoring method, we have to find the divisors of all numbers
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
Divisors of 844 :
The positive integer divisors of 844 that completely divides 844 are.
1, 2, 4, 211, 422, 844
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
GCD of numbers is the greatest common divisor
So, the GCD (398, 218, 844, 996) = 2.
Given numbers are 398, 218, 844, 996
The list of prime factors of all numbers are
Prime factors of 398 are 2 x 199
Prime factors of 218 are 2 x 109
Prime factors of 844 are 2 x 2 x 211
Prime factors of 996 are 2 x 2 x 3 x 83
The highest common occurrence is 21
Therefore, GCD of 398, 218, 844, 996 is 2.
Given numbers are 398, 218, 844, 996
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(398, 218) = 43382
GCD(398, 218) = ( 398 x 218 ) / 43382
= 398 / 218
= 398
Step2:
LCM(2, 844) = 844
GCD(2, 844) = ( 2 x 844 ) / 844
= 2 / 844
= 2
Step3:
LCM(2, 996) = 996
GCD(2, 996) = ( 2 x 996 ) / 996
= 2 / 996
= 2
So, Greatest Common Divisor of 398, 218, 844, 996 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 398, 218, 844, 996
The greatest common divisor of numbers 398, 218, 844, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 218, 844, 996 is 2.
1. What is the GCD of 398, 218, 844, 996?
GCD of given numbers 398, 218, 844, 996 is 2
2. How to calculate the greatest common divisor of 398, 218, 844, 996?
We can find the highest common divisor of 398, 218, 844, 996 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 398, 218, 844, 996 i.e 2.
3. How can I use the GCD of 398, 218, 844, 996Calculator?
Out the numbers 398, 218, 844, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.