Online GCD Calculator is useful to find the GCD of 398, 708, 321, 199 quickly. Get the easiest ways to solve the greatest common divisor of 398, 708, 321, 199 i.e 1 in different methods as follows.
Given Input numbers are 398, 708, 321, 199
In the factoring method, we have to find the divisors of all numbers
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
Divisors of 199 :
The positive integer divisors of 199 that completely divides 199 are.
1, 199
GCD of numbers is the greatest common divisor
So, the GCD (398, 708, 321, 199) = 1.
Given numbers are 398, 708, 321, 199
The list of prime factors of all numbers are
Prime factors of 398 are 2 x 199
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 321 are 3 x 107
Prime factors of 199 are 199
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 398, 708, 321, 199
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(398, 708) = 140892
GCD(398, 708) = ( 398 x 708 ) / 140892
= 398 / 708
= 398
Step2:
LCM(2, 321) = 642
GCD(2, 321) = ( 2 x 321 ) / 642
= 2 / 321
= 2
Step3:
LCM(1, 199) = 199
GCD(1, 199) = ( 1 x 199 ) / 199
= 1 / 199
= 1
So, Greatest Common Divisor of 398, 708, 321, 199 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 398, 708, 321, 199
The greatest common divisor of numbers 398, 708, 321, 199 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 708, 321, 199 is 1.
1. What is the GCD of 398, 708, 321, 199?
GCD of given numbers 398, 708, 321, 199 is 1
2. How to calculate the greatest common divisor of 398, 708, 321, 199?
We can find the highest common divisor of 398, 708, 321, 199 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 398, 708, 321, 199 i.e 1.
3. How can I use the GCD of 398, 708, 321, 199Calculator?
Out the numbers 398, 708, 321, 199 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.