Online GCD Calculator is useful to find the GCD of 998, 844, 198, 412 quickly. Get the easiest ways to solve the greatest common divisor of 998, 844, 198, 412 i.e 2 in different methods as follows.
Given Input numbers are 998, 844, 198, 412
In the factoring method, we have to find the divisors of all numbers
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 844 :
The positive integer divisors of 844 that completely divides 844 are.
1, 2, 4, 211, 422, 844
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
GCD of numbers is the greatest common divisor
So, the GCD (998, 844, 198, 412) = 2.
Given numbers are 998, 844, 198, 412
The list of prime factors of all numbers are
Prime factors of 998 are 2 x 499
Prime factors of 844 are 2 x 2 x 211
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 412 are 2 x 2 x 103
The highest common occurrence is 21
Therefore, GCD of 998, 844, 198, 412 is 2.
Given numbers are 998, 844, 198, 412
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(998, 844) = 421156
GCD(998, 844) = ( 998 x 844 ) / 421156
= 998 / 844
= 998
Step2:
LCM(2, 198) = 198
GCD(2, 198) = ( 2 x 198 ) / 198
= 2 / 198
= 2
Step3:
LCM(2, 412) = 412
GCD(2, 412) = ( 2 x 412 ) / 412
= 2 / 412
= 2
So, Greatest Common Divisor of 998, 844, 198, 412 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 998, 844, 198, 412
The greatest common divisor of numbers 998, 844, 198, 412 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 844, 198, 412 is 2.
1. What is the GCD of 998, 844, 198, 412?
GCD of given numbers 998, 844, 198, 412 is 2
2. How to calculate the greatest common divisor of 998, 844, 198, 412?
We can find the highest common divisor of 998, 844, 198, 412 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 998, 844, 198, 412 i.e 2.
3. How can I use the GCD of 998, 844, 198, 412Calculator?
Out the numbers 998, 844, 198, 412 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.