LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 165, 996, 765, 936 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


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.

GCD of

How to Find GCD of Numbers 165, 996, 765, 936 with Factoring?

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.

Find GCD of 165, 996, 765, 936 using Prime Factorization

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.

Steps to Calculate GCD of 165, 996, 765, 936 using LCM Formula

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

GCD of Numbers Calculation Examples

Greatest Common Divisor of 165, 996, 765, 936

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.

FAQs on GCD of 165, 996, 765, 936 Calculator

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.