Online GCD Calculator is useful to find the GCD of 688, 144, 328 quickly. Get the easiest ways to solve the greatest common divisor of 688, 144, 328 i.e 8 in different methods as follows.
Given Input numbers are 688, 144, 328
In the factoring method, we have to find the divisors of all numbers
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 328 :
The positive integer divisors of 328 that completely divides 328 are.
1, 2, 4, 8, 41, 82, 164, 328
GCD of numbers is the greatest common divisor
So, the GCD (688, 144, 328) = 8.
Given numbers are 688, 144, 328
The list of prime factors of all numbers are
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 328 are 2 x 2 x 2 x 41
The highest common occurrence is 23
Therefore, GCD of 688, 144, 328 is 8.
Given numbers are 688, 144, 328
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(688, 144) = 6192
GCD(688, 144) = ( 688 x 144 ) / 6192
= 688 / 144
= 688
Step2:
LCM(16, 328) = 656
GCD(16, 328) = ( 16 x 328 ) / 656
= 16 / 328
= 16
So, Greatest Common Divisor of 688, 144, 328 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 688, 144, 328
The greatest common divisor of numbers 688, 144, 328 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 144, 328 is 8.
1. What is the GCD of 688, 144, 328?
GCD of given numbers 688, 144, 328 is 8
2. How to calculate the greatest common divisor of 688, 144, 328?
We can find the highest common divisor of 688, 144, 328 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 688, 144, 328 i.e 8.
3. How can I use the GCD of 688, 144, 328Calculator?
Out the numbers 688, 144, 328 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.