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GCD of 326, 288, 448, 628 Calculator

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


Online GCD Calculator is useful to find the GCD of 326, 288, 448, 628 quickly. Get the easiest ways to solve the greatest common divisor of 326, 288, 448, 628 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 326, 288, 448, 628 with Factoring?

Given Input numbers are 326, 288, 448, 628

In the factoring method, we have to find the divisors of all numbers

Divisors of 326 :

The positive integer divisors of 326 that completely divides 326 are.

1, 2, 163, 326

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

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 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628


GCD of numbers is the greatest common divisor

So, the GCD (326, 288, 448, 628) = 2.

Find GCD of 326, 288, 448, 628 using Prime Factorization

Given numbers are 326, 288, 448, 628

The list of prime factors of all numbers are

Prime factors of 326 are 2 x 163

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Prime factors of 628 are 2 x 2 x 157

The highest common occurrence is 21

Therefore, GCD of 326, 288, 448, 628 is 2.

Steps to Calculate GCD of 326, 288, 448, 628 using LCM Formula

Given numbers are 326, 288, 448, 628

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

Apply this formula for all numbers.

Step1:

LCM(326, 288) = 46944

GCD(326, 288) = ( 326 x 288 ) / 46944

= 326 / 288

= 326


Step2:

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

= 2 / 448

= 2


Step3:

LCM(2, 628) = 628

GCD(2, 628) = ( 2 x 628 ) / 628

= 2 / 628

= 2


So, Greatest Common Divisor of 326, 288, 448, 628 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 326, 288, 448, 628

Given numbers are 326, 288, 448, 628
The greatest common divisor of numbers 326, 288, 448, 628 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 326, 288, 448, 628 is 2.

FAQs on GCD of 326, 288, 448, 628 Calculator

1. What is the GCD of 326, 288, 448, 628?

GCD of given numbers 326, 288, 448, 628 is 2


2. How to calculate the greatest common divisor of 326, 288, 448, 628?

We can find the highest common divisor of 326, 288, 448, 628 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 326, 288, 448, 628 i.e 2.


3. How can I use the GCD of 326, 288, 448, 628Calculator?

Out the numbers 326, 288, 448, 628 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.