Online GCD Calculator is useful to find the GCD of 682, 416, 341, 198 quickly. Get the easiest ways to solve the greatest common divisor of 682, 416, 341, 198 i.e 1 in different methods as follows.
Given Input numbers are 682, 416, 341, 198
In the factoring method, we have to find the divisors of all numbers
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 416 :
The positive integer divisors of 416 that completely divides 416 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
Divisors of 341 :
The positive integer divisors of 341 that completely divides 341 are.
1, 11, 31, 341
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 (682, 416, 341, 198) = 1.
Given numbers are 682, 416, 341, 198
The list of prime factors of all numbers are
Prime factors of 682 are 2 x 11 x 31
Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 341 are 11 x 31
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 682, 416, 341, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(682, 416) = 141856
GCD(682, 416) = ( 682 x 416 ) / 141856
= 682 / 416
= 682
Step2:
LCM(2, 341) = 682
GCD(2, 341) = ( 2 x 341 ) / 682
= 2 / 341
= 2
Step3:
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
= 1 / 198
= 1
So, Greatest Common Divisor of 682, 416, 341, 198 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 682, 416, 341, 198
The greatest common divisor of numbers 682, 416, 341, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 416, 341, 198 is 1.
1. What is the GCD of 682, 416, 341, 198?
GCD of given numbers 682, 416, 341, 198 is 1
2. How to calculate the greatest common divisor of 682, 416, 341, 198?
We can find the highest common divisor of 682, 416, 341, 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 682, 416, 341, 198 i.e 1.
3. How can I use the GCD of 682, 416, 341, 198Calculator?
Out the numbers 682, 416, 341, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.