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GCD of 996, 513, 123 Calculator

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


Online GCD Calculator is useful to find the GCD of 996, 513, 123 quickly. Get the easiest ways to solve the greatest common divisor of 996, 513, 123 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 996, 513, 123 with Factoring?

Given Input numbers are 996, 513, 123

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 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123


GCD of numbers is the greatest common divisor

So, the GCD (996, 513, 123) = 3.

Find GCD of 996, 513, 123 using Prime Factorization

Given numbers are 996, 513, 123

The list of prime factors of all numbers are

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 123 are 3 x 41

The highest common occurrence is 31

Therefore, GCD of 996, 513, 123 is 3.

Steps to Calculate GCD of 996, 513, 123 using LCM Formula

Given numbers are 996, 513, 123

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(996, 513) = 170316

GCD(996, 513) = ( 996 x 513 ) / 170316

= 996 / 513

= 996


Step2:

LCM(3, 123) = 123

GCD(3, 123) = ( 3 x 123 ) / 123

= 3 / 123

= 3


So, Greatest Common Divisor of 996, 513, 123 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 996, 513, 123

Given numbers are 996, 513, 123
The greatest common divisor of numbers 996, 513, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 513, 123 is 3.

FAQs on GCD of 996, 513, 123 Calculator

1. What is the GCD of 996, 513, 123?

GCD of given numbers 996, 513, 123 is 3


2. How to calculate the greatest common divisor of 996, 513, 123?

We can find the highest common divisor of 996, 513, 123 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, 513, 123 i.e 3.


3. How can I use the GCD of 996, 513, 123Calculator?

Out the numbers 996, 513, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.