Greatest Common Factor of 7868/711, 1131/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7868/711, 1131/248

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 7868/711,1131/248

Given fractions are 7868/711,1131/248

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 7868,1131

Greatest Common Factor of Numerators i.e. GCF of 7868,1131 is 1 .

LCM of Denominators means LCM of 711,248 as per the given fractions.

LCM of 711,248 is 176328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7868,1131

GCF of Fractions 7868/711,1131/248 is 1/176328

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

Greatest Common Factor of 7868,1131 By Matching Biggest Common Factor Method

Greatest Common Factor of 7868,1131 By Matching Biggest Common Factor Method

Factors of 7868

List of positive integer factors of 7868 that divides 7868 without a remainder.

1,2,4,7,14,28,281,562,1124,1967,3934,7868

Factors of 1131

List of positive integer factors of 1131 that divides 1131 without a remainder.

1,3,13,29,39,87,377,1131

Greatest Common Factor

We found the factors 7868,1131 . The biggest common factor number is the GCF number.
So the greatest common factor 7868,1131 is 1.

Lets's calculate LCM of 711,248

Given numbers has no common factors except 1. So, there LCM is their product i.e 176328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/176328

Therefore, the GCF of Fractions 7868/711,1131/248 is 1/176328

Least Common Multiple of 711,248 with GCF Formula

Least Common Multiple of 711,248 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 711,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,248) = 1

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

GCF(711,248) x common factors =1 x 1 = 1

LCM(711,248) = ( 711 × 248 ) / 1

LCM(711,248) = 176328 / 1

LCM(711,248) = 176328


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 7868/711, 1131/248

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 7868/711, 1131/248?

Answer: GCF of Numerators as per given numbers 7868/711, 1131/248 is

GCF of Numerators i.e. for 7868,1131 is 1

LCM of denominators i.e. for 711,248 is 176328.

Thus, GCF of Fractions is 1/176328.Finally, GCF of Fractions for 7868/711, 1131/248 is 1/176328.