Online GCD Calculator is useful to find the GCD of 688, 180, 218, 180 quickly. Get the easiest ways to solve the greatest common divisor of 688, 180, 218, 180 i.e 2 in different methods as follows.
Given Input numbers are 688, 180, 218, 180
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 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
GCD of numbers is the greatest common divisor
So, the GCD (688, 180, 218, 180) = 2.
Given numbers are 688, 180, 218, 180
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 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 218 are 2 x 109
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 688, 180, 218, 180 is 2.
Given numbers are 688, 180, 218, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(688, 180) = 30960
GCD(688, 180) = ( 688 x 180 ) / 30960
= 688 / 180
= 688
Step2:
LCM(4, 218) = 436
GCD(4, 218) = ( 4 x 218 ) / 436
= 4 / 218
= 4
Step3:
LCM(2, 180) = 180
GCD(2, 180) = ( 2 x 180 ) / 180
= 2 / 180
= 2
So, Greatest Common Divisor of 688, 180, 218, 180 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 688, 180, 218, 180
The greatest common divisor of numbers 688, 180, 218, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 180, 218, 180 is 2.
1. What is the GCD of 688, 180, 218, 180?
GCD of given numbers 688, 180, 218, 180 is 2
2. How to calculate the greatest common divisor of 688, 180, 218, 180?
We can find the highest common divisor of 688, 180, 218, 180 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, 180, 218, 180 i.e 2.
3. How can I use the GCD of 688, 180, 218, 180Calculator?
Out the numbers 688, 180, 218, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.