Greatest Common Factor of 302/711, 7784/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 302/711, 7784/687

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 302/711,7784/687

Given fractions are 302/711,7784/687

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 302,7784

Greatest Common Factor of Numerators i.e. GCF of 302,7784 is 2 .

LCM of Denominators means LCM of 711,687 as per the given fractions.

LCM of 711,687 is 162819 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 302,7784

GCF of Fractions 302/711,7784/687 is 2/162819

2 302, 7784
151, 3892

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 302,7784 By Matching Biggest Common Factor Method

Greatest Common Factor of 302,7784 By Matching Biggest Common Factor Method

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 7784

List of positive integer factors of 7784 that divides 7784 without a remainder.

1,2,4,7,8,14,28,56,139,278,556,973,1112,1946,3892,7784

Greatest Common Factor

We found the factors 302,7784 . The biggest common factor number is the GCF number.
So the greatest common factor 302,7784 is 2.

Lets's calculate LCM of 711,687

3 711, 687
237, 229

∴ So the LCM of the given numbers is 3 x 237 x 229 = 162819

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/162819

Therefore, the GCF of Fractions 302/711,7784/687 is 2/162819

Least Common Multiple of 711,687 with GCF Formula

Least Common Multiple of 711,687 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 711,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,687) = 3

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

GCF(711,687) x common factors =3 x 1 = 3

LCM(711,687) = ( 711 × 687 ) / 3

LCM(711,687) = 488457 / 3

LCM(711,687) = 162819


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 302/711, 7784/687

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 302/711, 7784/687?

Answer: GCF of Numerators as per given numbers 302/711, 7784/687 is

GCF of Numerators i.e. for 302,7784 is 2

LCM of denominators i.e. for 711,687 is 162819.

Thus, GCF of Fractions is 2/162819.Finally, GCF of Fractions for 302/711, 7784/687 is 2/162819.