Greatest Common Factor of 8048/60, 2848/471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8048/60, 2848/471

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 8048/60,2848/471

Given fractions are 8048/60,2848/471

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 8048,2848

Greatest Common Factor of Numerators i.e. GCF of 8048,2848 is 16 .

LCM of Denominators means LCM of 60,471 as per the given fractions.

LCM of 60,471 is 9420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8048,2848

GCF of Fractions 8048/60,2848/471 is 16/9420

2 8048, 2848
2 4024, 1424
2 2012, 712
2 1006, 356
503, 178

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 8048,2848 By Matching Biggest Common Factor Method

Greatest Common Factor of 8048,2848 By Matching Biggest Common Factor Method

Factors of 8048

List of positive integer factors of 8048 that divides 8048 without a remainder.

1,2,4,8,16,503,1006,2012,4024,8048

Factors of 2848

List of positive integer factors of 2848 that divides 2848 without a remainder.

1,2,4,8,16,32,89,178,356,712,1424,2848

Greatest Common Factor

We found the factors 8048,2848 . The biggest common factor number is the GCF number.
So the greatest common factor 8048,2848 is 16.

Lets's calculate LCM of 60,471

3 60, 471
20, 157

∴ So the LCM of the given numbers is 3 x 20 x 157 = 9420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/9420

Therefore, the GCF of Fractions 8048/60,2848/471 is 16/9420

Least Common Multiple of 60,471 with GCF Formula

Least Common Multiple of 60,471 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 60,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,471) = 3

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

GCF(60,471) x common factors =3 x 1 = 3

LCM(60,471) = ( 60 × 471 ) / 3

LCM(60,471) = 28260 / 3

LCM(60,471) = 9420


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 8048/60, 2848/471

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 8048/60, 2848/471?

Answer: GCF of Numerators as per given numbers 8048/60, 2848/471 is

GCF of Numerators i.e. for 8048,2848 is 16

LCM of denominators i.e. for 60,471 is 9420.

Thus, GCF of Fractions is 16/9420.Finally, GCF of Fractions for 8048/60, 2848/471 is 16/9420.