Online GCD Calculator is useful to find the GCD of 398, 728, 121, 313 quickly. Get the easiest ways to solve the greatest common divisor of 398, 728, 121, 313 i.e 1 in different methods as follows.
Given Input numbers are 398, 728, 121, 313
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 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 121 :
The positive integer divisors of 121 that completely divides 121 are.
1, 11, 121
Divisors of 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
GCD of numbers is the greatest common divisor
So, the GCD (398, 728, 121, 313) = 1.
Given numbers are 398, 728, 121, 313
The list of prime factors of all numbers are
Prime factors of 398 are 2 x 199
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 121 are 11 x 11
Prime factors of 313 are 313
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 398, 728, 121, 313
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(398, 728) = 144872
GCD(398, 728) = ( 398 x 728 ) / 144872
= 398 / 728
= 398
Step2:
LCM(2, 121) = 242
GCD(2, 121) = ( 2 x 121 ) / 242
= 2 / 121
= 2
Step3:
LCM(1, 313) = 313
GCD(1, 313) = ( 1 x 313 ) / 313
= 1 / 313
= 1
So, Greatest Common Divisor of 398, 728, 121, 313 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 398, 728, 121, 313
The greatest common divisor of numbers 398, 728, 121, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 728, 121, 313 is 1.
1. What is the GCD of 398, 728, 121, 313?
GCD of given numbers 398, 728, 121, 313 is 1
2. How to calculate the greatest common divisor of 398, 728, 121, 313?
We can find the highest common divisor of 398, 728, 121, 313 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, 728, 121, 313 i.e 1.
3. How can I use the GCD of 398, 728, 121, 313Calculator?
Out the numbers 398, 728, 121, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.