Online GCD Calculator is useful to find the GCD of 996, 591, 165, 135 quickly. Get the easiest ways to solve the greatest common divisor of 996, 591, 165, 135 i.e 3 in different methods as follows.
Given Input numbers are 996, 591, 165, 135
In the factoring method, we have to find the divisors of all numbers
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 591 :
The positive integer divisors of 591 that completely divides 591 are.
1, 3, 197, 591
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
GCD of numbers is the greatest common divisor
So, the GCD (996, 591, 165, 135) = 3.
Given numbers are 996, 591, 165, 135
The list of prime factors of all numbers are
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 591 are 3 x 197
Prime factors of 165 are 3 x 5 x 11
Prime factors of 135 are 3 x 3 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 996, 591, 165, 135 is 3.
Given numbers are 996, 591, 165, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(996, 591) = 196212
GCD(996, 591) = ( 996 x 591 ) / 196212
= 996 / 591
= 996
Step2:
LCM(3, 165) = 165
GCD(3, 165) = ( 3 x 165 ) / 165
= 3 / 165
= 3
Step3:
LCM(3, 135) = 135
GCD(3, 135) = ( 3 x 135 ) / 135
= 3 / 135
= 3
So, Greatest Common Divisor of 996, 591, 165, 135 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 996, 591, 165, 135
The greatest common divisor of numbers 996, 591, 165, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 591, 165, 135 is 3.
1. What is the GCD of 996, 591, 165, 135?
GCD of given numbers 996, 591, 165, 135 is 3
2. How to calculate the greatest common divisor of 996, 591, 165, 135?
We can find the highest common divisor of 996, 591, 165, 135 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 996, 591, 165, 135 i.e 3.
3. How can I use the GCD of 996, 591, 165, 135Calculator?
Out the numbers 996, 591, 165, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.