Online GCD Calculator is useful to find the GCD of 398, 696, 308, 104 quickly. Get the easiest ways to solve the greatest common divisor of 398, 696, 308, 104 i.e 2 in different methods as follows.
Given Input numbers are 398, 696, 308, 104
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 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
GCD of numbers is the greatest common divisor
So, the GCD (398, 696, 308, 104) = 2.
Given numbers are 398, 696, 308, 104
The list of prime factors of all numbers are
Prime factors of 398 are 2 x 199
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 104 are 2 x 2 x 2 x 13
The highest common occurrence is 21
Therefore, GCD of 398, 696, 308, 104 is 2.
Given numbers are 398, 696, 308, 104
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(398, 696) = 138504
GCD(398, 696) = ( 398 x 696 ) / 138504
= 398 / 696
= 398
Step2:
LCM(2, 308) = 308
GCD(2, 308) = ( 2 x 308 ) / 308
= 2 / 308
= 2
Step3:
LCM(2, 104) = 104
GCD(2, 104) = ( 2 x 104 ) / 104
= 2 / 104
= 2
So, Greatest Common Divisor of 398, 696, 308, 104 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 398, 696, 308, 104
The greatest common divisor of numbers 398, 696, 308, 104 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 696, 308, 104 is 2.
1. What is the GCD of 398, 696, 308, 104?
GCD of given numbers 398, 696, 308, 104 is 2
2. How to calculate the greatest common divisor of 398, 696, 308, 104?
We can find the highest common divisor of 398, 696, 308, 104 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, 696, 308, 104 i.e 2.
3. How can I use the GCD of 398, 696, 308, 104Calculator?
Out the numbers 398, 696, 308, 104 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.