Greatest Common Factor of 808/498, 729/309, 111/786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 808/498, 729/309, 111/786

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 808/498,729/309,111/786

Given fractions are 808/498,729/309,111/786

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 808,729,111

Greatest Common Factor of Numerators i.e. GCF of 808,729,111 is 1 .

LCM of Denominators means LCM of 498,309,786 as per the given fractions.

LCM of 498,309,786 is 6719514 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 808,729,111

GCF of Fractions 808/498,729/309,111/786 is 1/6719514

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

Greatest Common Factor of 808,729,111 By Matching Biggest Common Factor Method

Greatest Common Factor of 808,729,111 By Matching Biggest Common Factor Method

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Greatest Common Factor

We found the factors 808,729,111 . The biggest common factor number is the GCF number.
So the greatest common factor 808,729,111 is 1.

Lets's calculate LCM of 498,309,786

2 498, 309, 786
3 249, 309, 393
83, 103, 131

∴ So the LCM of the given numbers is 2 x 3 x 83 x 103 x 131 = 6719514

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6719514

Therefore, the GCF of Fractions 808/498,729/309,111/786 is 1/6719514

Least Common Multiple of 498,309,786 with GCF Formula

Least Common Multiple of 498,309,786 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 498,309,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,309,786) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(498,309,786) x common factors =3 x 6 = 18

LCM(498,309,786) = ( 498 × 309 × 786 ) / 18

LCM(498,309,786) = 120951252 / 18

LCM(498,309,786) = 6719514


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 808/498, 729/309, 111/786

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 808/498, 729/309, 111/786?

Answer: GCF of Numerators as per given numbers 808/498, 729/309, 111/786 is

GCF of Numerators i.e. for 808,729,111 is 1

LCM of denominators i.e. for 498,309,786 is 6719514.

Thus, GCF of Fractions is 1/6719514.Finally, GCF of Fractions for 808/498, 729/309, 111/786 is 1/6719514.