Greatest Common Factor of 7228/46, 5567/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7228/46, 5567/878

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 7228/46,5567/878

Given fractions are 7228/46,5567/878

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 7228,5567

Greatest Common Factor of Numerators i.e. GCF of 7228,5567 is 1 .

LCM of Denominators means LCM of 46,878 as per the given fractions.

LCM of 46,878 is 20194 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7228,5567

GCF of Fractions 7228/46,5567/878 is 1/20194

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

Greatest Common Factor of 7228,5567 By Matching Biggest Common Factor Method

Greatest Common Factor of 7228,5567 By Matching Biggest Common Factor Method

Factors of 7228

List of positive integer factors of 7228 that divides 7228 without a remainder.

1,2,4,13,26,52,139,278,556,1807,3614,7228

Factors of 5567

List of positive integer factors of 5567 that divides 5567 without a remainder.

1,19,293,5567

Greatest Common Factor

We found the factors 7228,5567 . The biggest common factor number is the GCF number.
So the greatest common factor 7228,5567 is 1.

Lets's calculate LCM of 46,878

2 46, 878
23, 439

∴ So the LCM of the given numbers is 2 x 23 x 439 = 20194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20194

Therefore, the GCF of Fractions 7228/46,5567/878 is 1/20194

Least Common Multiple of 46,878 with GCF Formula

Least Common Multiple of 46,878 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 46,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,878) = 2

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

GCF(46,878) x common factors =2 x 1 = 2

LCM(46,878) = ( 46 × 878 ) / 2

LCM(46,878) = 40388 / 2

LCM(46,878) = 20194


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 7228/46, 5567/878

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 7228/46, 5567/878?

Answer: GCF of Numerators as per given numbers 7228/46, 5567/878 is

GCF of Numerators i.e. for 7228,5567 is 1

LCM of denominators i.e. for 46,878 is 20194.

Thus, GCF of Fractions is 1/20194.Finally, GCF of Fractions for 7228/46, 5567/878 is 1/20194.