Online GCD Calculator is useful to find the GCD of 285, 120, 888, 882 quickly. Get the easiest ways to solve the greatest common divisor of 285, 120, 888, 882 i.e 3 in different methods as follows.
Given Input numbers are 285, 120, 888, 882
In the factoring method, we have to find the divisors of all numbers
Divisors of 285 :
The positive integer divisors of 285 that completely divides 285 are.
1, 3, 5, 15, 19, 57, 95, 285
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
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 882 :
The positive integer divisors of 882 that completely divides 882 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
GCD of numbers is the greatest common divisor
So, the GCD (285, 120, 888, 882) = 3.
Given numbers are 285, 120, 888, 882
The list of prime factors of all numbers are
Prime factors of 285 are 3 x 5 x 19
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 888 are 2 x 2 x 2 x 3 x 37
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
The highest common occurrence is 31
Therefore, GCD of 285, 120, 888, 882 is 3.
Given numbers are 285, 120, 888, 882
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(285, 120) = 2280
GCD(285, 120) = ( 285 x 120 ) / 2280
= 285 / 120
= 285
Step2:
LCM(15, 888) = 4440
GCD(15, 888) = ( 15 x 888 ) / 4440
= 15 / 888
= 15
Step3:
LCM(3, 882) = 882
GCD(3, 882) = ( 3 x 882 ) / 882
= 3 / 882
= 3
So, Greatest Common Divisor of 285, 120, 888, 882 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 285, 120, 888, 882
The greatest common divisor of numbers 285, 120, 888, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 285, 120, 888, 882 is 3.
1. What is the GCD of 285, 120, 888, 882?
GCD of given numbers 285, 120, 888, 882 is 3
2. How to calculate the greatest common divisor of 285, 120, 888, 882?
We can find the highest common divisor of 285, 120, 888, 882 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 285, 120, 888, 882 i.e 3.
3. How can I use the GCD of 285, 120, 888, 882Calculator?
Out the numbers 285, 120, 888, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.