Online GCD Calculator is useful to find the GCD of 990, 522, 892, 132 quickly. Get the easiest ways to solve the greatest common divisor of 990, 522, 892, 132 i.e 2 in different methods as follows.
Given Input numbers are 990, 522, 892, 132
In the factoring method, we have to find the divisors of all numbers
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 892 :
The positive integer divisors of 892 that completely divides 892 are.
1, 2, 4, 223, 446, 892
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
GCD of numbers is the greatest common divisor
So, the GCD (990, 522, 892, 132) = 2.
Given numbers are 990, 522, 892, 132
The list of prime factors of all numbers are
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 892 are 2 x 2 x 223
Prime factors of 132 are 2 x 2 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 990, 522, 892, 132 is 2.
Given numbers are 990, 522, 892, 132
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 522) = 28710
GCD(990, 522) = ( 990 x 522 ) / 28710
= 990 / 522
= 990
Step2:
LCM(18, 892) = 8028
GCD(18, 892) = ( 18 x 892 ) / 8028
= 18 / 892
= 18
Step3:
LCM(2, 132) = 132
GCD(2, 132) = ( 2 x 132 ) / 132
= 2 / 132
= 2
So, Greatest Common Divisor of 990, 522, 892, 132 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 990, 522, 892, 132
The greatest common divisor of numbers 990, 522, 892, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 522, 892, 132 is 2.
1. What is the GCD of 990, 522, 892, 132?
GCD of given numbers 990, 522, 892, 132 is 2
2. How to calculate the greatest common divisor of 990, 522, 892, 132?
We can find the highest common divisor of 990, 522, 892, 132 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 990, 522, 892, 132 i.e 2.
3. How can I use the GCD of 990, 522, 892, 132Calculator?
Out the numbers 990, 522, 892, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.