Online GCD Calculator is useful to find the GCD of 104, 298, 644, 344 quickly. Get the easiest ways to solve the greatest common divisor of 104, 298, 644, 344 i.e 2 in different methods as follows.
Given Input numbers are 104, 298, 644, 344
In the factoring method, we have to find the divisors of all numbers
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
Divisors of 644 :
The positive integer divisors of 644 that completely divides 644 are.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
GCD of numbers is the greatest common divisor
So, the GCD (104, 298, 644, 344) = 2.
Given numbers are 104, 298, 644, 344
The list of prime factors of all numbers are
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 298 are 2 x 149
Prime factors of 644 are 2 x 2 x 7 x 23
Prime factors of 344 are 2 x 2 x 2 x 43
The highest common occurrence is 21
Therefore, GCD of 104, 298, 644, 344 is 2.
Given numbers are 104, 298, 644, 344
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(104, 298) = 15496
GCD(104, 298) = ( 104 x 298 ) / 15496
= 104 / 298
= 104
Step2:
LCM(2, 644) = 644
GCD(2, 644) = ( 2 x 644 ) / 644
= 2 / 644
= 2
Step3:
LCM(2, 344) = 344
GCD(2, 344) = ( 2 x 344 ) / 344
= 2 / 344
= 2
So, Greatest Common Divisor of 104, 298, 644, 344 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 104, 298, 644, 344
The greatest common divisor of numbers 104, 298, 644, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 298, 644, 344 is 2.
1. What is the GCD of 104, 298, 644, 344?
GCD of given numbers 104, 298, 644, 344 is 2
2. How to calculate the greatest common divisor of 104, 298, 644, 344?
We can find the highest common divisor of 104, 298, 644, 344 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 104, 298, 644, 344 i.e 2.
3. How can I use the GCD of 104, 298, 644, 344Calculator?
Out the numbers 104, 298, 644, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.