Online GCD Calculator is useful to find the GCD of 988, 198, 614, 657 quickly. Get the easiest ways to solve the greatest common divisor of 988, 198, 614, 657 i.e 1 in different methods as follows.
Given Input numbers are 988, 198, 614, 657
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 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 614 :
The positive integer divisors of 614 that completely divides 614 are.
1, 2, 307, 614
Divisors of 657 :
The positive integer divisors of 657 that completely divides 657 are.
1, 3, 9, 73, 219, 657
GCD of numbers is the greatest common divisor
So, the GCD (988, 198, 614, 657) = 1.
Given numbers are 988, 198, 614, 657
The list of prime factors of all numbers are
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 614 are 2 x 307
Prime factors of 657 are 3 x 3 x 73
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 988, 198, 614, 657
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(988, 198) = 97812
GCD(988, 198) = ( 988 x 198 ) / 97812
= 988 / 198
= 988
Step2:
LCM(2, 614) = 614
GCD(2, 614) = ( 2 x 614 ) / 614
= 2 / 614
= 2
Step3:
LCM(2, 657) = 1314
GCD(2, 657) = ( 2 x 657 ) / 1314
= 2 / 657
= 2
So, Greatest Common Divisor of 988, 198, 614, 657 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 988, 198, 614, 657
The greatest common divisor of numbers 988, 198, 614, 657 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 198, 614, 657 is 1.
1. What is the GCD of 988, 198, 614, 657?
GCD of given numbers 988, 198, 614, 657 is 1
2. How to calculate the greatest common divisor of 988, 198, 614, 657?
We can find the highest common divisor of 988, 198, 614, 657 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, 198, 614, 657 i.e 1.
3. How can I use the GCD of 988, 198, 614, 657Calculator?
Out the numbers 988, 198, 614, 657 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.