Greatest Common Factor of 299/278, 6669/7582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 299/278, 6669/7582

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 299/278,6669/7582

Given fractions are 299/278,6669/7582

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 299,6669

Greatest Common Factor of Numerators i.e. GCF of 299,6669 is 13 .

LCM of Denominators means LCM of 278,7582 as per the given fractions.

LCM of 278,7582 is 1053898 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 299,6669

GCF of Fractions 299/278,6669/7582 is 13/1053898

13 299, 6669
23, 513

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 299,6669 By Matching Biggest Common Factor Method

Greatest Common Factor of 299,6669 By Matching Biggest Common Factor Method

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 6669

List of positive integer factors of 6669 that divides 6669 without a remainder.

1,3,9,13,19,27,39,57,117,171,247,351,513,741,2223,6669

Greatest Common Factor

We found the factors 299,6669 . The biggest common factor number is the GCF number.
So the greatest common factor 299,6669 is 13.

Lets's calculate LCM of 278,7582

2 278, 7582
139, 3791

∴ So the LCM of the given numbers is 2 x 139 x 3791 = 1053898

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1053898

Therefore, the GCF of Fractions 299/278,6669/7582 is 13/1053898

Least Common Multiple of 278,7582 with GCF Formula

Least Common Multiple of 278,7582 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 278,7582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,7582) = 2

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

GCF(278,7582) x common factors =2 x 1 = 2

LCM(278,7582) = ( 278 × 7582 ) / 2

LCM(278,7582) = 2107796 / 2

LCM(278,7582) = 1053898


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 299/278, 6669/7582

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 299/278, 6669/7582?

Answer: GCF of Numerators as per given numbers 299/278, 6669/7582 is

GCF of Numerators i.e. for 299,6669 is 13

LCM of denominators i.e. for 278,7582 is 1053898.

Thus, GCF of Fractions is 13/1053898.Finally, GCF of Fractions for 299/278, 6669/7582 is 13/1053898.