Greatest Common Factor of 288/91, 7435/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 288/91, 7435/686

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 288/91,7435/686

Given fractions are 288/91,7435/686

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 288,7435

Greatest Common Factor of Numerators i.e. GCF of 288,7435 is 1 .

LCM of Denominators means LCM of 91,686 as per the given fractions.

LCM of 91,686 is 8918 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 288,7435

GCF of Fractions 288/91,7435/686 is 1/8918

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

Greatest Common Factor of 288,7435 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,7435 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 7435

List of positive integer factors of 7435 that divides 7435 without a remainder.

1,5,1487,7435

Greatest Common Factor

We found the factors 288,7435 . The biggest common factor number is the GCF number.
So the greatest common factor 288,7435 is 1.

Lets's calculate LCM of 91,686

7 91, 686
13, 98

∴ So the LCM of the given numbers is 7 x 13 x 98 = 8918

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8918

Therefore, the GCF of Fractions 288/91,7435/686 is 1/8918

Least Common Multiple of 91,686 with GCF Formula

Least Common Multiple of 91,686 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 91,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,686) = 7

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

GCF(91,686) x common factors =7 x 1 = 7

LCM(91,686) = ( 91 × 686 ) / 7

LCM(91,686) = 62426 / 7

LCM(91,686) = 8918


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 288/91, 7435/686

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 288/91, 7435/686?

Answer: GCF of Numerators as per given numbers 288/91, 7435/686 is

GCF of Numerators i.e. for 288,7435 is 1

LCM of denominators i.e. for 91,686 is 8918.

Thus, GCF of Fractions is 1/8918.Finally, GCF of Fractions for 288/91, 7435/686 is 1/8918.