Online GCD Calculator is useful to find the GCD of 668, 656, 918, 342 quickly. Get the easiest ways to solve the greatest common divisor of 668, 656, 918, 342 i.e 2 in different methods as follows.
Given Input numbers are 668, 656, 918, 342
In the factoring method, we have to find the divisors of all numbers
Divisors of 668 :
The positive integer divisors of 668 that completely divides 668 are.
1, 2, 4, 167, 334, 668
Divisors of 656 :
The positive integer divisors of 656 that completely divides 656 are.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
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 (668, 656, 918, 342) = 2.
Given numbers are 668, 656, 918, 342
The list of prime factors of all numbers are
Prime factors of 668 are 2 x 2 x 167
Prime factors of 656 are 2 x 2 x 2 x 2 x 41
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 342 are 2 x 3 x 3 x 19
The highest common occurrence is 21
Therefore, GCD of 668, 656, 918, 342 is 2.
Given numbers are 668, 656, 918, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(668, 656) = 109552
GCD(668, 656) = ( 668 x 656 ) / 109552
= 668 / 656
= 668
Step2:
LCM(4, 918) = 1836
GCD(4, 918) = ( 4 x 918 ) / 1836
= 4 / 918
= 4
Step3:
LCM(2, 342) = 342
GCD(2, 342) = ( 2 x 342 ) / 342
= 2 / 342
= 2
So, Greatest Common Divisor of 668, 656, 918, 342 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 668, 656, 918, 342
The greatest common divisor of numbers 668, 656, 918, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 668, 656, 918, 342 is 2.
1. What is the GCD of 668, 656, 918, 342?
GCD of given numbers 668, 656, 918, 342 is 2
2. How to calculate the greatest common divisor of 668, 656, 918, 342?
We can find the highest common divisor of 668, 656, 918, 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 668, 656, 918, 342 i.e 2.
3. How can I use the GCD of 668, 656, 918, 342Calculator?
Out the numbers 668, 656, 918, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.