Online GCD Calculator is useful to find the GCD of 998, 828, 682, 195 quickly. Get the easiest ways to solve the greatest common divisor of 998, 828, 682, 195 i.e 1 in different methods as follows.
Given Input numbers are 998, 828, 682, 195
In the factoring method, we have to find the divisors of all numbers
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 195 :
The positive integer divisors of 195 that completely divides 195 are.
1, 3, 5, 13, 15, 39, 65, 195
GCD of numbers is the greatest common divisor
So, the GCD (998, 828, 682, 195) = 1.
Given numbers are 998, 828, 682, 195
The list of prime factors of all numbers are
Prime factors of 998 are 2 x 499
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 682 are 2 x 11 x 31
Prime factors of 195 are 3 x 5 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 998, 828, 682, 195
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(998, 828) = 413172
GCD(998, 828) = ( 998 x 828 ) / 413172
= 998 / 828
= 998
Step2:
LCM(2, 682) = 682
GCD(2, 682) = ( 2 x 682 ) / 682
= 2 / 682
= 2
Step3:
LCM(2, 195) = 390
GCD(2, 195) = ( 2 x 195 ) / 390
= 2 / 195
= 2
So, Greatest Common Divisor of 998, 828, 682, 195 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 998, 828, 682, 195
The greatest common divisor of numbers 998, 828, 682, 195 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 828, 682, 195 is 1.
1. What is the GCD of 998, 828, 682, 195?
GCD of given numbers 998, 828, 682, 195 is 1
2. How to calculate the greatest common divisor of 998, 828, 682, 195?
We can find the highest common divisor of 998, 828, 682, 195 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 998, 828, 682, 195 i.e 1.
3. How can I use the GCD of 998, 828, 682, 195Calculator?
Out the numbers 998, 828, 682, 195 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.