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GCD of 996, 645, 448, 323 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, 645, 448, 323 quickly. Get the easiest ways to solve the greatest common divisor of 996, 645, 448, 323 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 996, 645, 448, 323 with Factoring?

Given Input numbers are 996, 645, 448, 323

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 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 323 :

The positive integer divisors of 323 that completely divides 323 are.

1, 17, 19, 323


GCD of numbers is the greatest common divisor

So, the GCD (996, 645, 448, 323) = 1.

Find GCD of 996, 645, 448, 323 using Prime Factorization

Given numbers are 996, 645, 448, 323

The list of prime factors of all numbers are

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

Prime factors of 645 are 3 x 5 x 43

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 323 are 17 x 19

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 996, 645, 448, 323 using LCM Formula

Given numbers are 996, 645, 448, 323

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

Apply this formula for all numbers.

Step1:

LCM(996, 645) = 214140

GCD(996, 645) = ( 996 x 645 ) / 214140

= 996 / 645

= 996


Step2:

LCM(3, 448) = 1344

GCD(3, 448) = ( 3 x 448 ) / 1344

= 3 / 448

= 3


Step3:

LCM(1, 323) = 323

GCD(1, 323) = ( 1 x 323 ) / 323

= 1 / 323

= 1


So, Greatest Common Divisor of 996, 645, 448, 323 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 996, 645, 448, 323

Given numbers are 996, 645, 448, 323
The greatest common divisor of numbers 996, 645, 448, 323 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 645, 448, 323 is 1.

FAQs on GCD of 996, 645, 448, 323 Calculator

1. What is the GCD of 996, 645, 448, 323?

GCD of given numbers 996, 645, 448, 323 is 1


2. How to calculate the greatest common divisor of 996, 645, 448, 323?

We can find the highest common divisor of 996, 645, 448, 323 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, 645, 448, 323 i.e 1.


3. How can I use the GCD of 996, 645, 448, 323Calculator?

Out the numbers 996, 645, 448, 323 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.