Greatest Common Factor of 4879/498, 7738/353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4879/498, 7738/353

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 4879/498,7738/353

Given fractions are 4879/498,7738/353

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 4879,7738

Greatest Common Factor of Numerators i.e. GCF of 4879,7738 is 1 .

LCM of Denominators means LCM of 498,353 as per the given fractions.

LCM of 498,353 is 175794 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4879,7738

GCF of Fractions 4879/498,7738/353 is 1/175794

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

Greatest Common Factor of 4879,7738 By Matching Biggest Common Factor Method

Greatest Common Factor of 4879,7738 By Matching Biggest Common Factor Method

Factors of 4879

List of positive integer factors of 4879 that divides 4879 without a remainder.

1,7,17,41,119,287,697,4879

Factors of 7738

List of positive integer factors of 7738 that divides 7738 without a remainder.

1,2,53,73,106,146,3869,7738

Greatest Common Factor

We found the factors 4879,7738 . The biggest common factor number is the GCF number.
So the greatest common factor 4879,7738 is 1.

Lets's calculate LCM of 498,353

Given numbers has no common factors except 1. So, there LCM is their product i.e 175794

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175794

Therefore, the GCF of Fractions 4879/498,7738/353 is 1/175794

Least Common Multiple of 498,353 with GCF Formula

Least Common Multiple of 498,353 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 498,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,353) = 1

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

GCF(498,353) x common factors =1 x 1 = 1

LCM(498,353) = ( 498 × 353 ) / 1

LCM(498,353) = 175794 / 1

LCM(498,353) = 175794


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 4879/498, 7738/353

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 4879/498, 7738/353?

Answer: GCF of Numerators as per given numbers 4879/498, 7738/353 is

GCF of Numerators i.e. for 4879,7738 is 1

LCM of denominators i.e. for 498,353 is 175794.

Thus, GCF of Fractions is 1/175794.Finally, GCF of Fractions for 4879/498, 7738/353 is 1/175794.