Greatest Common Factor of 904/16, 475/21, 488/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 904/16, 475/21, 488/493

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 904/16,475/21,488/493

Given fractions are 904/16,475/21,488/493

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 904,475,488

Greatest Common Factor of Numerators i.e. GCF of 904,475,488 is 1 .

LCM of Denominators means LCM of 16,21,493 as per the given fractions.

LCM of 16,21,493 is 165648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 904,475,488

GCF of Fractions 904/16,475/21,488/493 is 1/165648

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 904,475,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,475,488 By Matching Biggest Common Factor Method

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 904,475,488 . The biggest common factor number is the GCF number.
So the greatest common factor 904,475,488 is 1.


Lets's calculate LCM of 16,21,493

Given numbers has no common factors except 1. So, there LCM is their product i.e 165648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/165648

Therefore, the GCF of Fractions 904/16,475/21,488/493 is 1/165648

Least Common Multiple of 16,21,493 with GCF Formula

Least Common Multiple of 16,21,493 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 16,21,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,21,493) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(16,21,493) x common factors =1 x 1 = 1

LCM(16,21,493) = ( 16 × 21 × 493 ) / 1

LCM(16,21,493) = 165648 / 1

LCM(16,21,493) = 165648


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 904/16, 475/21, 488/493

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 904/16, 475/21, 488/493?

Answer: GCF of Numerators as per given numbers 904/16, 475/21, 488/493 is

GCF of Numerators i.e. for 904,475,488 is 1

LCM of denominators i.e. for 16,21,493 is 165648.

Thus, GCF of Fractions is 1/165648.Finally, GCF of Fractions for 904/16, 475/21, 488/493 is 1/165648.