Online GCD Calculator is useful to find the GCD of 344, 678, 268, 342 quickly. Get the easiest ways to solve the greatest common divisor of 344, 678, 268, 342 i.e 2 in different methods as follows.
Given Input numbers are 344, 678, 268, 342
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 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
GCD of numbers is the greatest common divisor
So, the GCD (344, 678, 268, 342) = 2.
Given numbers are 344, 678, 268, 342
The list of prime factors of all numbers are
Prime factors of 344 are 2 x 2 x 2 x 43
Prime factors of 678 are 2 x 3 x 113
Prime factors of 268 are 2 x 2 x 67
Prime factors of 342 are 2 x 3 x 3 x 19
The highest common occurrence is 21
Therefore, GCD of 344, 678, 268, 342 is 2.
Given numbers are 344, 678, 268, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(344, 678) = 116616
GCD(344, 678) = ( 344 x 678 ) / 116616
= 344 / 678
= 344
Step2:
LCM(2, 268) = 268
GCD(2, 268) = ( 2 x 268 ) / 268
= 2 / 268
= 2
Step3:
LCM(2, 342) = 342
GCD(2, 342) = ( 2 x 342 ) / 342
= 2 / 342
= 2
So, Greatest Common Divisor of 344, 678, 268, 342 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 344, 678, 268, 342
The greatest common divisor of numbers 344, 678, 268, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 678, 268, 342 is 2.
1. What is the GCD of 344, 678, 268, 342?
GCD of given numbers 344, 678, 268, 342 is 2
2. How to calculate the greatest common divisor of 344, 678, 268, 342?
We can find the highest common divisor of 344, 678, 268, 342 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, 678, 268, 342 i.e 2.
3. How can I use the GCD of 344, 678, 268, 342Calculator?
Out the numbers 344, 678, 268, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.