Greatest Common Factor of 176/493, 721/884, 471/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 176/493, 721/884, 471/409

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 176/493,721/884,471/409

Given fractions are 176/493,721/884,471/409

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 176,721,471

Greatest Common Factor of Numerators i.e. GCF of 176,721,471 is 1 .

LCM of Denominators means LCM of 493,884,409 as per the given fractions.

LCM of 493,884,409 is 10485124 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 176,721,471

GCF of Fractions 176/493,721/884,471/409 is 1/10485124

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

Greatest Common Factor of 176,721,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 176,721,471 By Matching Biggest Common Factor Method

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Greatest Common Factor

We found the factors 176,721,471 . The biggest common factor number is the GCF number.
So the greatest common factor 176,721,471 is 1.

Lets's calculate LCM of 493,884,409

17 493, 884, 409
29, 52, 409

∴ So the LCM of the given numbers is 17 x 29 x 52 x 409 = 10485124

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10485124

Therefore, the GCF of Fractions 176/493,721/884,471/409 is 1/10485124

Least Common Multiple of 493,884,409 with GCF Formula

Least Common Multiple of 493,884,409 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 493,884,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,884,409) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(493,884,409) x common factors =1 x 17 = 17

LCM(493,884,409) = ( 493 × 884 × 409 ) / 17

LCM(493,884,409) = 178247108 / 17

LCM(493,884,409) = 10485124


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 176/493, 721/884, 471/409

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 176/493, 721/884, 471/409?

Answer: GCF of Numerators as per given numbers 176/493, 721/884, 471/409 is

GCF of Numerators i.e. for 176,721,471 is 1

LCM of denominators i.e. for 493,884,409 is 10485124.

Thus, GCF of Fractions is 1/10485124.Finally, GCF of Fractions for 176/493, 721/884, 471/409 is 1/10485124.