Online GCD Calculator is useful to find the GCD of 348, 998, 790, 344 quickly. Get the easiest ways to solve the greatest common divisor of 348, 998, 790, 344 i.e 2 in different methods as follows.
Given Input numbers are 348, 998, 790, 344
In the factoring method, we have to find the divisors of all numbers
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 790 :
The positive integer divisors of 790 that completely divides 790 are.
1, 2, 5, 10, 79, 158, 395, 790
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 (348, 998, 790, 344) = 2.
Given numbers are 348, 998, 790, 344
The list of prime factors of all numbers are
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 998 are 2 x 499
Prime factors of 790 are 2 x 5 x 79
Prime factors of 344 are 2 x 2 x 2 x 43
The highest common occurrence is 21
Therefore, GCD of 348, 998, 790, 344 is 2.
Given numbers are 348, 998, 790, 344
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(348, 998) = 173652
GCD(348, 998) = ( 348 x 998 ) / 173652
= 348 / 998
= 348
Step2:
LCM(2, 790) = 790
GCD(2, 790) = ( 2 x 790 ) / 790
= 2 / 790
= 2
Step3:
LCM(2, 344) = 344
GCD(2, 344) = ( 2 x 344 ) / 344
= 2 / 344
= 2
So, Greatest Common Divisor of 348, 998, 790, 344 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 348, 998, 790, 344
The greatest common divisor of numbers 348, 998, 790, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 998, 790, 344 is 2.
1. What is the GCD of 348, 998, 790, 344?
GCD of given numbers 348, 998, 790, 344 is 2
2. How to calculate the greatest common divisor of 348, 998, 790, 344?
We can find the highest common divisor of 348, 998, 790, 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 348, 998, 790, 344 i.e 2.
3. How can I use the GCD of 348, 998, 790, 344Calculator?
Out the numbers 348, 998, 790, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.