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GCD of 472, 304, 268 Calculator

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


Online GCD Calculator is useful to find the GCD of 472, 304, 268 quickly. Get the easiest ways to solve the greatest common divisor of 472, 304, 268 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 472, 304, 268 with Factoring?

Given Input numbers are 472, 304, 268

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

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268


GCD of numbers is the greatest common divisor

So, the GCD (472, 304, 268) = 4.

Find GCD of 472, 304, 268 using Prime Factorization

Given numbers are 472, 304, 268

The list of prime factors of all numbers are

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 268 are 2 x 2 x 67

The highest common occurrence is 22

Therefore, GCD of 472, 304, 268 is 4.

Steps to Calculate GCD of 472, 304, 268 using LCM Formula

Given numbers are 472, 304, 268

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

Apply this formula for all numbers.

Step1:

LCM(472, 304) = 17936

GCD(472, 304) = ( 472 x 304 ) / 17936

= 472 / 304

= 472


Step2:

LCM(8, 268) = 536

GCD(8, 268) = ( 8 x 268 ) / 536

= 8 / 268

= 8


So, Greatest Common Divisor of 472, 304, 268 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 472, 304, 268

Given numbers are 472, 304, 268
The greatest common divisor of numbers 472, 304, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 304, 268 is 4.

FAQs on GCD of 472, 304, 268 Calculator

1. What is the GCD of 472, 304, 268?

GCD of given numbers 472, 304, 268 is 4


2. How to calculate the greatest common divisor of 472, 304, 268?

We can find the highest common divisor of 472, 304, 268 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 472, 304, 268 i.e 4.


3. How can I use the GCD of 472, 304, 268Calculator?

Out the numbers 472, 304, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.