Greatest Common Factor of 7771/288, 5329/8271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7771/288, 5329/8271

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 7771/288,5329/8271

Given fractions are 7771/288,5329/8271

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 7771,5329

Greatest Common Factor of Numerators i.e. GCF of 7771,5329 is 1 .

LCM of Denominators means LCM of 288,8271 as per the given fractions.

LCM of 288,8271 is 264672 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7771,5329

GCF of Fractions 7771/288,5329/8271 is 1/264672

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

Greatest Common Factor of 7771,5329 By Matching Biggest Common Factor Method

Greatest Common Factor of 7771,5329 By Matching Biggest Common Factor Method

Factors of 7771

List of positive integer factors of 7771 that divides 7771 without a remainder.

1,19,409,7771

Factors of 5329

List of positive integer factors of 5329 that divides 5329 without a remainder.

1,73,5329

Greatest Common Factor

We found the factors 7771,5329 . The biggest common factor number is the GCF number.
So the greatest common factor 7771,5329 is 1.

Lets's calculate LCM of 288,8271

3 288, 8271
3 96, 2757
32, 919

∴ So the LCM of the given numbers is 3 x 3 x 32 x 919 = 264672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/264672

Therefore, the GCF of Fractions 7771/288,5329/8271 is 1/264672

Least Common Multiple of 288,8271 with GCF Formula

Least Common Multiple of 288,8271 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 288,8271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,8271) = 9

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

GCF(288,8271) x common factors =9 x 1 = 9

LCM(288,8271) = ( 288 × 8271 ) / 9

LCM(288,8271) = 2382048 / 9

LCM(288,8271) = 264672


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 7771/288, 5329/8271

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 7771/288, 5329/8271?

Answer: GCF of Numerators as per given numbers 7771/288, 5329/8271 is

GCF of Numerators i.e. for 7771,5329 is 1

LCM of denominators i.e. for 288,8271 is 264672.

Thus, GCF of Fractions is 1/264672.Finally, GCF of Fractions for 7771/288, 5329/8271 is 1/264672.