Online GCD Calculator is useful to find the GCD of 344, 418, 964, 338 quickly. Get the easiest ways to solve the greatest common divisor of 344, 418, 964, 338 i.e 2 in different methods as follows.
Given Input numbers are 344, 418, 964, 338
In the factoring method, we have to find the divisors of all numbers
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 418 :
The positive integer divisors of 418 that completely divides 418 are.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 964 :
The positive integer divisors of 964 that completely divides 964 are.
1, 2, 4, 241, 482, 964
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
GCD of numbers is the greatest common divisor
So, the GCD (344, 418, 964, 338) = 2.
Given numbers are 344, 418, 964, 338
The list of prime factors of all numbers are
Prime factors of 344 are 2 x 2 x 2 x 43
Prime factors of 418 are 2 x 11 x 19
Prime factors of 964 are 2 x 2 x 241
Prime factors of 338 are 2 x 13 x 13
The highest common occurrence is 21
Therefore, GCD of 344, 418, 964, 338 is 2.
Given numbers are 344, 418, 964, 338
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(344, 418) = 71896
GCD(344, 418) = ( 344 x 418 ) / 71896
= 344 / 418
= 344
Step2:
LCM(2, 964) = 964
GCD(2, 964) = ( 2 x 964 ) / 964
= 2 / 964
= 2
Step3:
LCM(2, 338) = 338
GCD(2, 338) = ( 2 x 338 ) / 338
= 2 / 338
= 2
So, Greatest Common Divisor of 344, 418, 964, 338 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 344, 418, 964, 338
The greatest common divisor of numbers 344, 418, 964, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 418, 964, 338 is 2.
1. What is the GCD of 344, 418, 964, 338?
GCD of given numbers 344, 418, 964, 338 is 2
2. How to calculate the greatest common divisor of 344, 418, 964, 338?
We can find the highest common divisor of 344, 418, 964, 338 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 344, 418, 964, 338 i.e 2.
3. How can I use the GCD of 344, 418, 964, 338Calculator?
Out the numbers 344, 418, 964, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.