Online GCD Calculator is useful to find the GCD of 183, 765, 156, 990 quickly. Get the easiest ways to solve the greatest common divisor of 183, 765, 156, 990 i.e 3 in different methods as follows.
Given Input numbers are 183, 765, 156, 990
In the factoring method, we have to find the divisors of all numbers
Divisors of 183 :
The positive integer divisors of 183 that completely divides 183 are.
1, 3, 61, 183
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
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
GCD of numbers is the greatest common divisor
So, the GCD (183, 765, 156, 990) = 3.
Given numbers are 183, 765, 156, 990
The list of prime factors of all numbers are
Prime factors of 183 are 3 x 61
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 156 are 2 x 2 x 3 x 13
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
The highest common occurrence is 31
Therefore, GCD of 183, 765, 156, 990 is 3.
Given numbers are 183, 765, 156, 990
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(183, 765) = 46665
GCD(183, 765) = ( 183 x 765 ) / 46665
= 183 / 765
= 183
Step2:
LCM(3, 156) = 156
GCD(3, 156) = ( 3 x 156 ) / 156
= 3 / 156
= 3
Step3:
LCM(3, 990) = 990
GCD(3, 990) = ( 3 x 990 ) / 990
= 3 / 990
= 3
So, Greatest Common Divisor of 183, 765, 156, 990 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 183, 765, 156, 990
The greatest common divisor of numbers 183, 765, 156, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 183, 765, 156, 990 is 3.
1. What is the GCD of 183, 765, 156, 990?
GCD of given numbers 183, 765, 156, 990 is 3
2. How to calculate the greatest common divisor of 183, 765, 156, 990?
We can find the highest common divisor of 183, 765, 156, 990 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 183, 765, 156, 990 i.e 3.
3. How can I use the GCD of 183, 765, 156, 990Calculator?
Out the numbers 183, 765, 156, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.