Online GCD Calculator is useful to find the GCD of 165, 996, 765, 936 quickly. Get the easiest ways to solve the greatest common divisor of 165, 996, 765, 936 i.e 3 in different methods as follows.
Given Input numbers are 165, 996, 765, 936
In the factoring method, we have to find the divisors of all numbers
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
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 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 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
GCD of numbers is the greatest common divisor
So, the GCD (165, 996, 765, 936) = 3.
Given numbers are 165, 996, 765, 936
The list of prime factors of all numbers are
Prime factors of 165 are 3 x 5 x 11
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
The highest common occurrence is 31
Therefore, GCD of 165, 996, 765, 936 is 3.
Given numbers are 165, 996, 765, 936
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(165, 996) = 54780
GCD(165, 996) = ( 165 x 996 ) / 54780
= 165 / 996
= 165
Step2:
LCM(3, 765) = 765
GCD(3, 765) = ( 3 x 765 ) / 765
= 3 / 765
= 3
Step3:
LCM(3, 936) = 936
GCD(3, 936) = ( 3 x 936 ) / 936
= 3 / 936
= 3
So, Greatest Common Divisor of 165, 996, 765, 936 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 165, 996, 765, 936
The greatest common divisor of numbers 165, 996, 765, 936 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 996, 765, 936 is 3.
1. What is the GCD of 165, 996, 765, 936?
GCD of given numbers 165, 996, 765, 936 is 3
2. How to calculate the greatest common divisor of 165, 996, 765, 936?
We can find the highest common divisor of 165, 996, 765, 936 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 165, 996, 765, 936 i.e 3.
3. How can I use the GCD of 165, 996, 765, 936Calculator?
Out the numbers 165, 996, 765, 936 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.