Greatest Common Factor of 4030/998, 8941/9140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4030/998, 8941/9140

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 4030/998,8941/9140

Given fractions are 4030/998,8941/9140

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 4030,8941

Greatest Common Factor of Numerators i.e. GCF of 4030,8941 is 1 .

LCM of Denominators means LCM of 998,9140 as per the given fractions.

LCM of 998,9140 is 4560860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4030,8941

GCF of Fractions 4030/998,8941/9140 is 1/4560860

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

Greatest Common Factor of 4030,8941 By Matching Biggest Common Factor Method

Greatest Common Factor of 4030,8941 By Matching Biggest Common Factor Method

Factors of 4030

List of positive integer factors of 4030 that divides 4030 without a remainder.

1,2,5,10,13,26,31,62,65,130,155,310,403,806,2015,4030

Factors of 8941

List of positive integer factors of 8941 that divides 8941 without a remainder.

1,8941

Greatest Common Factor

We found the factors 4030,8941 . The biggest common factor number is the GCF number.
So the greatest common factor 4030,8941 is 1.

Lets's calculate LCM of 998,9140

2 998, 9140
499, 4570

∴ So the LCM of the given numbers is 2 x 499 x 4570 = 4560860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4560860

Therefore, the GCF of Fractions 4030/998,8941/9140 is 1/4560860

Least Common Multiple of 998,9140 with GCF Formula

Least Common Multiple of 998,9140 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 998,9140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,9140) = 2

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

GCF(998,9140) x common factors =2 x 1 = 2

LCM(998,9140) = ( 998 × 9140 ) / 2

LCM(998,9140) = 9121720 / 2

LCM(998,9140) = 4560860


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 4030/998, 8941/9140

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 4030/998, 8941/9140?

Answer: GCF of Numerators as per given numbers 4030/998, 8941/9140 is

GCF of Numerators i.e. for 4030,8941 is 1

LCM of denominators i.e. for 998,9140 is 4560860.

Thus, GCF of Fractions is 1/4560860.Finally, GCF of Fractions for 4030/998, 8941/9140 is 1/4560860.