Greatest Common Factor of 1302/808, 6766/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1302/808, 6766/642

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 1302/808,6766/642

Given fractions are 1302/808,6766/642

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 1302,6766

Greatest Common Factor of Numerators i.e. GCF of 1302,6766 is 2 .

LCM of Denominators means LCM of 808,642 as per the given fractions.

LCM of 808,642 is 259368 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1302,6766

GCF of Fractions 1302/808,6766/642 is 2/259368

2 1302, 6766
651, 3383

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

Greatest Common Factor of 1302,6766 By Matching Biggest Common Factor Method

Greatest Common Factor of 1302,6766 By Matching Biggest Common Factor Method

Factors of 1302

List of positive integer factors of 1302 that divides 1302 without a remainder.

1,2,3,6,7,14,21,31,42,62,93,186,217,434,651,1302

Factors of 6766

List of positive integer factors of 6766 that divides 6766 without a remainder.

1,2,17,34,199,398,3383,6766

Greatest Common Factor

We found the factors 1302,6766 . The biggest common factor number is the GCF number.
So the greatest common factor 1302,6766 is 2.

Lets's calculate LCM of 808,642

2 808, 642
404, 321

∴ So the LCM of the given numbers is 2 x 404 x 321 = 259368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/259368

Therefore, the GCF of Fractions 1302/808,6766/642 is 2/259368

Least Common Multiple of 808,642 with GCF Formula

Least Common Multiple of 808,642 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 808,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(808,642) = 2

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

GCF(808,642) x common factors =2 x 1 = 2

LCM(808,642) = ( 808 × 642 ) / 2

LCM(808,642) = 518736 / 2

LCM(808,642) = 259368


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 1302/808, 6766/642

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 1302/808, 6766/642?

Answer: GCF of Numerators as per given numbers 1302/808, 6766/642 is

GCF of Numerators i.e. for 1302,6766 is 2

LCM of denominators i.e. for 808,642 is 259368.

Thus, GCF of Fractions is 2/259368.Finally, GCF of Fractions for 1302/808, 6766/642 is 2/259368.