Online GCD Calculator is useful to find the GCD of 198, 981, 657, 699 quickly. Get the easiest ways to solve the greatest common divisor of 198, 981, 657, 699 i.e 3 in different methods as follows.
Given Input numbers are 198, 981, 657, 699
In the factoring method, we have to find the divisors of all numbers
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 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
Divisors of 657 :
The positive integer divisors of 657 that completely divides 657 are.
1, 3, 9, 73, 219, 657
Divisors of 699 :
The positive integer divisors of 699 that completely divides 699 are.
1, 3, 233, 699
GCD of numbers is the greatest common divisor
So, the GCD (198, 981, 657, 699) = 3.
Given numbers are 198, 981, 657, 699
The list of prime factors of all numbers are
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 981 are 3 x 3 x 109
Prime factors of 657 are 3 x 3 x 73
Prime factors of 699 are 3 x 233
The highest common occurrence is 31
Therefore, GCD of 198, 981, 657, 699 is 3.
Given numbers are 198, 981, 657, 699
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(198, 981) = 21582
GCD(198, 981) = ( 198 x 981 ) / 21582
= 198 / 981
= 198
Step2:
LCM(9, 657) = 657
GCD(9, 657) = ( 9 x 657 ) / 657
= 9 / 657
= 9
Step3:
LCM(9, 699) = 2097
GCD(9, 699) = ( 9 x 699 ) / 2097
= 9 / 699
= 9
So, Greatest Common Divisor of 198, 981, 657, 699 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 198, 981, 657, 699
The greatest common divisor of numbers 198, 981, 657, 699 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 981, 657, 699 is 3.
1. What is the GCD of 198, 981, 657, 699?
GCD of given numbers 198, 981, 657, 699 is 3
2. How to calculate the greatest common divisor of 198, 981, 657, 699?
We can find the highest common divisor of 198, 981, 657, 699 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 198, 981, 657, 699 i.e 3.
3. How can I use the GCD of 198, 981, 657, 699Calculator?
Out the numbers 198, 981, 657, 699 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.