Online GCD Calculator is useful to find the GCD of 489, 882, 840, 333 quickly. Get the easiest ways to solve the greatest common divisor of 489, 882, 840, 333 i.e 3 in different methods as follows.
Given Input numbers are 489, 882, 840, 333
In the factoring method, we have to find the divisors of all numbers
Divisors of 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
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
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 333 :
The positive integer divisors of 333 that completely divides 333 are.
1, 3, 9, 37, 111, 333
GCD of numbers is the greatest common divisor
So, the GCD (489, 882, 840, 333) = 3.
Given numbers are 489, 882, 840, 333
The list of prime factors of all numbers are
Prime factors of 489 are 3 x 163
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 333 are 3 x 3 x 37
The highest common occurrence is 31
Therefore, GCD of 489, 882, 840, 333 is 3.
Given numbers are 489, 882, 840, 333
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(489, 882) = 143766
GCD(489, 882) = ( 489 x 882 ) / 143766
= 489 / 882
= 489
Step2:
LCM(3, 840) = 840
GCD(3, 840) = ( 3 x 840 ) / 840
= 3 / 840
= 3
Step3:
LCM(3, 333) = 333
GCD(3, 333) = ( 3 x 333 ) / 333
= 3 / 333
= 3
So, Greatest Common Divisor of 489, 882, 840, 333 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 489, 882, 840, 333
The greatest common divisor of numbers 489, 882, 840, 333 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 882, 840, 333 is 3.
1. What is the GCD of 489, 882, 840, 333?
GCD of given numbers 489, 882, 840, 333 is 3
2. How to calculate the greatest common divisor of 489, 882, 840, 333?
We can find the highest common divisor of 489, 882, 840, 333 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 489, 882, 840, 333 i.e 3.
3. How can I use the GCD of 489, 882, 840, 333Calculator?
Out the numbers 489, 882, 840, 333 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.