Online GCD Calculator is useful to find the GCD of 998, 214, 935, 364 quickly. Get the easiest ways to solve the greatest common divisor of 998, 214, 935, 364 i.e 1 in different methods as follows.
Given Input numbers are 998, 214, 935, 364
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 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 935 :
The positive integer divisors of 935 that completely divides 935 are.
1, 5, 11, 17, 55, 85, 187, 935
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
GCD of numbers is the greatest common divisor
So, the GCD (998, 214, 935, 364) = 1.
Given numbers are 998, 214, 935, 364
The list of prime factors of all numbers are
Prime factors of 998 are 2 x 499
Prime factors of 214 are 2 x 107
Prime factors of 935 are 5 x 11 x 17
Prime factors of 364 are 2 x 2 x 7 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 998, 214, 935, 364
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(998, 214) = 106786
GCD(998, 214) = ( 998 x 214 ) / 106786
= 998 / 214
= 998
Step2:
LCM(2, 935) = 1870
GCD(2, 935) = ( 2 x 935 ) / 1870
= 2 / 935
= 2
Step3:
LCM(1, 364) = 364
GCD(1, 364) = ( 1 x 364 ) / 364
= 1 / 364
= 1
So, Greatest Common Divisor of 998, 214, 935, 364 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 998, 214, 935, 364
The greatest common divisor of numbers 998, 214, 935, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 214, 935, 364 is 1.
1. What is the GCD of 998, 214, 935, 364?
GCD of given numbers 998, 214, 935, 364 is 1
2. How to calculate the greatest common divisor of 998, 214, 935, 364?
We can find the highest common divisor of 998, 214, 935, 364 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, 214, 935, 364 i.e 1.
3. How can I use the GCD of 998, 214, 935, 364Calculator?
Out the numbers 998, 214, 935, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.