Greatest Common Factor of 9941/998, 7070/2728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9941/998, 7070/2728

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 9941/998,7070/2728

Given fractions are 9941/998,7070/2728

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 9941,7070

Greatest Common Factor of Numerators i.e. GCF of 9941,7070 is 1 .

LCM of Denominators means LCM of 998,2728 as per the given fractions.

LCM of 998,2728 is 1361272 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9941,7070

GCF of Fractions 9941/998,7070/2728 is 1/1361272

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

Greatest Common Factor of 9941,7070 By Matching Biggest Common Factor Method

Greatest Common Factor of 9941,7070 By Matching Biggest Common Factor Method

Factors of 9941

List of positive integer factors of 9941 that divides 9941 without a remainder.

1,9941

Factors of 7070

List of positive integer factors of 7070 that divides 7070 without a remainder.

1,2,5,7,10,14,35,70,101,202,505,707,1010,1414,3535,7070

Greatest Common Factor

We found the factors 9941,7070 . The biggest common factor number is the GCF number.
So the greatest common factor 9941,7070 is 1.

Lets's calculate LCM of 998,2728

2 998, 2728
499, 1364

∴ So the LCM of the given numbers is 2 x 499 x 1364 = 1361272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1361272

Therefore, the GCF of Fractions 9941/998,7070/2728 is 1/1361272

Least Common Multiple of 998,2728 with GCF Formula

Least Common Multiple of 998,2728 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 998,2728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,2728) = 2

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

GCF(998,2728) x common factors =2 x 1 = 2

LCM(998,2728) = ( 998 × 2728 ) / 2

LCM(998,2728) = 2722544 / 2

LCM(998,2728) = 1361272


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 9941/998, 7070/2728

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 9941/998, 7070/2728?

Answer: GCF of Numerators as per given numbers 9941/998, 7070/2728 is

GCF of Numerators i.e. for 9941,7070 is 1

LCM of denominators i.e. for 998,2728 is 1361272.

Thus, GCF of Fractions is 1/1361272.Finally, GCF of Fractions for 9941/998, 7070/2728 is 1/1361272.