Greatest Common Factor of 7146/46, 8014/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7146/46, 8014/484

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 7146/46,8014/484

Given fractions are 7146/46,8014/484

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 7146,8014

Greatest Common Factor of Numerators i.e. GCF of 7146,8014 is 2 .

LCM of Denominators means LCM of 46,484 as per the given fractions.

LCM of 46,484 is 11132 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7146,8014

GCF of Fractions 7146/46,8014/484 is 2/11132

2 7146, 8014
3573, 4007

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

Greatest Common Factor of 7146,8014 By Matching Biggest Common Factor Method

Greatest Common Factor of 7146,8014 By Matching Biggest Common Factor Method

Factors of 7146

List of positive integer factors of 7146 that divides 7146 without a remainder.

1,2,3,6,9,18,397,794,1191,2382,3573,7146

Factors of 8014

List of positive integer factors of 8014 that divides 8014 without a remainder.

1,2,4007,8014

Greatest Common Factor

We found the factors 7146,8014 . The biggest common factor number is the GCF number.
So the greatest common factor 7146,8014 is 2.

Lets's calculate LCM of 46,484

2 46, 484
23, 242

∴ So the LCM of the given numbers is 2 x 23 x 242 = 11132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11132

Therefore, the GCF of Fractions 7146/46,8014/484 is 2/11132

Least Common Multiple of 46,484 with GCF Formula

Least Common Multiple of 46,484 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 46,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,484) = 2

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

GCF(46,484) x common factors =2 x 1 = 2

LCM(46,484) = ( 46 × 484 ) / 2

LCM(46,484) = 22264 / 2

LCM(46,484) = 11132


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 7146/46, 8014/484

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 7146/46, 8014/484?

Answer: GCF of Numerators as per given numbers 7146/46, 8014/484 is

GCF of Numerators i.e. for 7146,8014 is 2

LCM of denominators i.e. for 46,484 is 11132.

Thus, GCF of Fractions is 2/11132.Finally, GCF of Fractions for 7146/46, 8014/484 is 2/11132.