Online GCD Calculator is useful to find the GCD of 240, 688, 18, 888 quickly. Get the easiest ways to solve the greatest common divisor of 240, 688, 18, 888 i.e 2 in different methods as follows.
Given Input numbers are 240, 688, 18, 888
In the factoring method, we have to find the divisors of all numbers
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
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 18 :
The positive integer divisors of 18 that completely divides 18 are.
1, 2, 3, 6, 9, 18
Divisors of 888 :
The positive integer divisors of 888 that completely divides 888 are.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
GCD of numbers is the greatest common divisor
So, the GCD (240, 688, 18, 888) = 2.
Given numbers are 240, 688, 18, 888
The list of prime factors of all numbers are
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 18 are 2 x 3 x 3
Prime factors of 888 are 2 x 2 x 2 x 3 x 37
The highest common occurrence is 21
Therefore, GCD of 240, 688, 18, 888 is 2.
Given numbers are 240, 688, 18, 888
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(240, 688) = 10320
GCD(240, 688) = ( 240 x 688 ) / 10320
= 240 / 688
= 240
Step2:
LCM(16, 18) = 144
GCD(16, 18) = ( 16 x 18 ) / 144
= 16 / 18
= 16
Step3:
LCM(2, 888) = 888
GCD(2, 888) = ( 2 x 888 ) / 888
= 2 / 888
= 2
So, Greatest Common Divisor of 240, 688, 18, 888 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 240, 688, 18, 888
The greatest common divisor of numbers 240, 688, 18, 888 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 688, 18, 888 is 2.
1. What is the GCD of 240, 688, 18, 888?
GCD of given numbers 240, 688, 18, 888 is 2
2. How to calculate the greatest common divisor of 240, 688, 18, 888?
We can find the highest common divisor of 240, 688, 18, 888 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 240, 688, 18, 888 i.e 2.
3. How can I use the GCD of 240, 688, 18, 888Calculator?
Out the numbers 240, 688, 18, 888 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.