Greatest Common Factor of 802/260, 6814/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 802/260, 6814/882

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 802/260,6814/882

Given fractions are 802/260,6814/882

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 802,6814

Greatest Common Factor of Numerators i.e. GCF of 802,6814 is 2 .

LCM of Denominators means LCM of 260,882 as per the given fractions.

LCM of 260,882 is 114660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 802,6814

GCF of Fractions 802/260,6814/882 is 2/114660

2 802, 6814
401, 3407

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

Greatest Common Factor of 802,6814 By Matching Biggest Common Factor Method

Greatest Common Factor of 802,6814 By Matching Biggest Common Factor Method

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Factors of 6814

List of positive integer factors of 6814 that divides 6814 without a remainder.

1,2,3407,6814

Greatest Common Factor

We found the factors 802,6814 . The biggest common factor number is the GCF number.
So the greatest common factor 802,6814 is 2.

Lets's calculate LCM of 260,882

2 260, 882
130, 441

∴ So the LCM of the given numbers is 2 x 130 x 441 = 114660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/114660

Therefore, the GCF of Fractions 802/260,6814/882 is 2/114660

Least Common Multiple of 260,882 with GCF Formula

Least Common Multiple of 260,882 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 260,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,882) = 2

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

GCF(260,882) x common factors =2 x 1 = 2

LCM(260,882) = ( 260 × 882 ) / 2

LCM(260,882) = 229320 / 2

LCM(260,882) = 114660


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 802/260, 6814/882

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 802/260, 6814/882?

Answer: GCF of Numerators as per given numbers 802/260, 6814/882 is

GCF of Numerators i.e. for 802,6814 is 2

LCM of denominators i.e. for 260,882 is 114660.

Thus, GCF of Fractions is 2/114660.Finally, GCF of Fractions for 802/260, 6814/882 is 2/114660.