Online GCD Calculator is useful to find the GCD of 888, 180, 825, 114 quickly. Get the easiest ways to solve the greatest common divisor of 888, 180, 825, 114 i.e 3 in different methods as follows.
Given Input numbers are 888, 180, 825, 114
In the factoring method, we have to find the divisors of all numbers
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
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 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
GCD of numbers is the greatest common divisor
So, the GCD (888, 180, 825, 114) = 3.
Given numbers are 888, 180, 825, 114
The list of prime factors of all numbers are
Prime factors of 888 are 2 x 2 x 2 x 3 x 37
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 114 are 2 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 888, 180, 825, 114 is 3.
Given numbers are 888, 180, 825, 114
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(888, 180) = 13320
GCD(888, 180) = ( 888 x 180 ) / 13320
= 888 / 180
= 888
Step2:
LCM(12, 825) = 3300
GCD(12, 825) = ( 12 x 825 ) / 3300
= 12 / 825
= 12
Step3:
LCM(3, 114) = 114
GCD(3, 114) = ( 3 x 114 ) / 114
= 3 / 114
= 3
So, Greatest Common Divisor of 888, 180, 825, 114 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 888, 180, 825, 114
The greatest common divisor of numbers 888, 180, 825, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 888, 180, 825, 114 is 3.
1. What is the GCD of 888, 180, 825, 114?
GCD of given numbers 888, 180, 825, 114 is 3
2. How to calculate the greatest common divisor of 888, 180, 825, 114?
We can find the highest common divisor of 888, 180, 825, 114 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 888, 180, 825, 114 i.e 3.
3. How can I use the GCD of 888, 180, 825, 114Calculator?
Out the numbers 888, 180, 825, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.