Online GCD Calculator is useful to find the GCD of 988, 226, 407, 198 quickly. Get the easiest ways to solve the greatest common divisor of 988, 226, 407, 198 i.e 1 in different methods as follows.
Given Input numbers are 988, 226, 407, 198
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 226 :
The positive integer divisors of 226 that completely divides 226 are.
1, 2, 113, 226
Divisors of 407 :
The positive integer divisors of 407 that completely divides 407 are.
1, 11, 37, 407
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
GCD of numbers is the greatest common divisor
So, the GCD (988, 226, 407, 198) = 1.
Given numbers are 988, 226, 407, 198
The list of prime factors of all numbers are
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 226 are 2 x 113
Prime factors of 407 are 11 x 37
Prime factors of 198 are 2 x 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 988, 226, 407, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(988, 226) = 111644
GCD(988, 226) = ( 988 x 226 ) / 111644
= 988 / 226
= 988
Step2:
LCM(2, 407) = 814
GCD(2, 407) = ( 2 x 407 ) / 814
= 2 / 407
= 2
Step3:
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
= 1 / 198
= 1
So, Greatest Common Divisor of 988, 226, 407, 198 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 988, 226, 407, 198
The greatest common divisor of numbers 988, 226, 407, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 226, 407, 198 is 1.
1. What is the GCD of 988, 226, 407, 198?
GCD of given numbers 988, 226, 407, 198 is 1
2. How to calculate the greatest common divisor of 988, 226, 407, 198?
We can find the highest common divisor of 988, 226, 407, 198 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 988, 226, 407, 198 i.e 1.
3. How can I use the GCD of 988, 226, 407, 198Calculator?
Out the numbers 988, 226, 407, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.