Greatest Common Factor of 2749/329, 3079/9954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2749/329, 3079/9954

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 2749/329,3079/9954

Given fractions are 2749/329,3079/9954

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 2749,3079

Greatest Common Factor of Numerators i.e. GCF of 2749,3079 is 1 .

LCM of Denominators means LCM of 329,9954 as per the given fractions.

LCM of 329,9954 is 467838 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2749,3079

GCF of Fractions 2749/329,3079/9954 is 1/467838

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

Greatest Common Factor of 2749,3079 By Matching Biggest Common Factor Method

Greatest Common Factor of 2749,3079 By Matching Biggest Common Factor Method

Factors of 2749

List of positive integer factors of 2749 that divides 2749 without a remainder.

1,2749

Factors of 3079

List of positive integer factors of 3079 that divides 3079 without a remainder.

1,3079

Greatest Common Factor

We found the factors 2749,3079 . The biggest common factor number is the GCF number.
So the greatest common factor 2749,3079 is 1.

Lets's calculate LCM of 329,9954

7 329, 9954
47, 1422

∴ So the LCM of the given numbers is 7 x 47 x 1422 = 467838

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/467838

Therefore, the GCF of Fractions 2749/329,3079/9954 is 1/467838

Least Common Multiple of 329,9954 with GCF Formula

Least Common Multiple of 329,9954 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 329,9954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(329,9954) = 7

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

GCF(329,9954) x common factors =7 x 1 = 7

LCM(329,9954) = ( 329 × 9954 ) / 7

LCM(329,9954) = 3274866 / 7

LCM(329,9954) = 467838


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 2749/329, 3079/9954

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 2749/329, 3079/9954?

Answer: GCF of Numerators as per given numbers 2749/329, 3079/9954 is

GCF of Numerators i.e. for 2749,3079 is 1

LCM of denominators i.e. for 329,9954 is 467838.

Thus, GCF of Fractions is 1/467838.Finally, GCF of Fractions for 2749/329, 3079/9954 is 1/467838.