Greatest Common Factor of 489/16, 471/5314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 489/16, 471/5314

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 489/16,471/5314

Given fractions are 489/16,471/5314

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 489,471

Greatest Common Factor of Numerators i.e. GCF of 489,471 is 3 .

LCM of Denominators means LCM of 16,5314 as per the given fractions.

LCM of 16,5314 is 42512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 489,471

GCF of Fractions 489/16,471/5314 is 3/42512

3 489, 471
163, 157

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 489,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,471 By Matching Biggest Common Factor Method

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

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 489,471 . The biggest common factor number is the GCF number.
So the greatest common factor 489,471 is 3.

Lets's calculate LCM of 16,5314

2 16, 5314
8, 2657

∴ So the LCM of the given numbers is 2 x 8 x 2657 = 42512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/42512

Therefore, the GCF of Fractions 489/16,471/5314 is 3/42512

Least Common Multiple of 16,5314 with GCF Formula

Least Common Multiple of 16,5314 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 16,5314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,5314) = 2

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

GCF(16,5314) x common factors =2 x 1 = 2

LCM(16,5314) = ( 16 × 5314 ) / 2

LCM(16,5314) = 85024 / 2

LCM(16,5314) = 42512


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 489/16, 471/5314

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 489/16, 471/5314?

Answer: GCF of Numerators as per given numbers 489/16, 471/5314 is

GCF of Numerators i.e. for 489,471 is 3

LCM of denominators i.e. for 16,5314 is 42512.

Thus, GCF of Fractions is 3/42512.Finally, GCF of Fractions for 489/16, 471/5314 is 3/42512.