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GCD of 183, 765, 156, 990 Calculator

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


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.

GCD of

How to Find GCD of Numbers 183, 765, 156, 990 with Factoring?

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.

Find GCD of 183, 765, 156, 990 using Prime Factorization

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.

Steps to Calculate GCD of 183, 765, 156, 990 using LCM Formula

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

GCD of Numbers Calculation Examples

Greatest Common Divisor of 183, 765, 156, 990

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.

FAQs on GCD of 183, 765, 156, 990 Calculator

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.