Greatest Common Factor of 7277/978, 1483/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7277/978, 1483/249

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 7277/978,1483/249

Given fractions are 7277/978,1483/249

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 7277,1483

Greatest Common Factor of Numerators i.e. GCF of 7277,1483 is 1 .

LCM of Denominators means LCM of 978,249 as per the given fractions.

LCM of 978,249 is 81174 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7277,1483

GCF of Fractions 7277/978,1483/249 is 1/81174

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

Greatest Common Factor of 7277,1483 By Matching Biggest Common Factor Method

Greatest Common Factor of 7277,1483 By Matching Biggest Common Factor Method

Factors of 7277

List of positive integer factors of 7277 that divides 7277 without a remainder.

1,19,383,7277

Factors of 1483

List of positive integer factors of 1483 that divides 1483 without a remainder.

1,1483

Greatest Common Factor

We found the factors 7277,1483 . The biggest common factor number is the GCF number.
So the greatest common factor 7277,1483 is 1.

Lets's calculate LCM of 978,249

3 978, 249
326, 83

∴ So the LCM of the given numbers is 3 x 326 x 83 = 81174

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81174

Therefore, the GCF of Fractions 7277/978,1483/249 is 1/81174

Least Common Multiple of 978,249 with GCF Formula

Least Common Multiple of 978,249 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 978,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,249) = 3

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

GCF(978,249) x common factors =3 x 1 = 3

LCM(978,249) = ( 978 × 249 ) / 3

LCM(978,249) = 243522 / 3

LCM(978,249) = 81174


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 7277/978, 1483/249

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 7277/978, 1483/249?

Answer: GCF of Numerators as per given numbers 7277/978, 1483/249 is

GCF of Numerators i.e. for 7277,1483 is 1

LCM of denominators i.e. for 978,249 is 81174.

Thus, GCF of Fractions is 1/81174.Finally, GCF of Fractions for 7277/978, 1483/249 is 1/81174.