Online GCD Calculator is useful to find the GCD of 852, 489, 132, 330 quickly. Get the easiest ways to solve the greatest common divisor of 852, 489, 132, 330 i.e 3 in different methods as follows.
Given Input numbers are 852, 489, 132, 330
In the factoring method, we have to find the divisors of all numbers
Divisors of 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 330 :
The positive integer divisors of 330 that completely divides 330 are.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
GCD of numbers is the greatest common divisor
So, the GCD (852, 489, 132, 330) = 3.
Given numbers are 852, 489, 132, 330
The list of prime factors of all numbers are
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 489 are 3 x 163
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 330 are 2 x 3 x 5 x 11
The highest common occurrence is 31
Therefore, GCD of 852, 489, 132, 330 is 3.
Given numbers are 852, 489, 132, 330
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(852, 489) = 138876
GCD(852, 489) = ( 852 x 489 ) / 138876
= 852 / 489
= 852
Step2:
LCM(3, 132) = 132
GCD(3, 132) = ( 3 x 132 ) / 132
= 3 / 132
= 3
Step3:
LCM(3, 330) = 330
GCD(3, 330) = ( 3 x 330 ) / 330
= 3 / 330
= 3
So, Greatest Common Divisor of 852, 489, 132, 330 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 852, 489, 132, 330
The greatest common divisor of numbers 852, 489, 132, 330 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 489, 132, 330 is 3.
1. What is the GCD of 852, 489, 132, 330?
GCD of given numbers 852, 489, 132, 330 is 3
2. How to calculate the greatest common divisor of 852, 489, 132, 330?
We can find the highest common divisor of 852, 489, 132, 330 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 852, 489, 132, 330 i.e 3.
3. How can I use the GCD of 852, 489, 132, 330Calculator?
Out the numbers 852, 489, 132, 330 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.