Online GCD Calculator is useful to find the GCD of 198, 931, 682, 916 quickly. Get the easiest ways to solve the greatest common divisor of 198, 931, 682, 916 i.e 1 in different methods as follows.
Given Input numbers are 198, 931, 682, 916
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 931 :
The positive integer divisors of 931 that completely divides 931 are.
1, 7, 19, 49, 133, 931
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
GCD of numbers is the greatest common divisor
So, the GCD (198, 931, 682, 916) = 1.
Given numbers are 198, 931, 682, 916
The list of prime factors of all numbers are
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 931 are 7 x 7 x 19
Prime factors of 682 are 2 x 11 x 31
Prime factors of 916 are 2 x 2 x 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 198, 931, 682, 916
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(198, 931) = 184338
GCD(198, 931) = ( 198 x 931 ) / 184338
= 198 / 931
= 198
Step2:
LCM(1, 682) = 682
GCD(1, 682) = ( 1 x 682 ) / 682
= 1 / 682
= 1
Step3:
LCM(1, 916) = 916
GCD(1, 916) = ( 1 x 916 ) / 916
= 1 / 916
= 1
So, Greatest Common Divisor of 198, 931, 682, 916 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 198, 931, 682, 916
The greatest common divisor of numbers 198, 931, 682, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 931, 682, 916 is 1.
1. What is the GCD of 198, 931, 682, 916?
GCD of given numbers 198, 931, 682, 916 is 1
2. How to calculate the greatest common divisor of 198, 931, 682, 916?
We can find the highest common divisor of 198, 931, 682, 916 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, 931, 682, 916 i.e 1.
3. How can I use the GCD of 198, 931, 682, 916Calculator?
Out the numbers 198, 931, 682, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.