Greatest Common Factor of 5035/998, 8815/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5035/998, 8815/510

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 5035/998,8815/510

Given fractions are 5035/998,8815/510

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 5035,8815

Greatest Common Factor of Numerators i.e. GCF of 5035,8815 is 5 .

LCM of Denominators means LCM of 998,510 as per the given fractions.

LCM of 998,510 is 254490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5035,8815

GCF of Fractions 5035/998,8815/510 is 5/254490

5 5035, 8815
1007, 1763

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 5035,8815 By Matching Biggest Common Factor Method

Greatest Common Factor of 5035,8815 By Matching Biggest Common Factor Method

Factors of 5035

List of positive integer factors of 5035 that divides 5035 without a remainder.

1,5,19,53,95,265,1007,5035

Factors of 8815

List of positive integer factors of 8815 that divides 8815 without a remainder.

1,5,41,43,205,215,1763,8815

Greatest Common Factor

We found the factors 5035,8815 . The biggest common factor number is the GCF number.
So the greatest common factor 5035,8815 is 5.

Lets's calculate LCM of 998,510

2 998, 510
499, 255

∴ So the LCM of the given numbers is 2 x 499 x 255 = 254490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/254490

Therefore, the GCF of Fractions 5035/998,8815/510 is 5/254490

Least Common Multiple of 998,510 with GCF Formula

Least Common Multiple of 998,510 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 998,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,510) = 2

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

GCF(998,510) x common factors =2 x 1 = 2

LCM(998,510) = ( 998 × 510 ) / 2

LCM(998,510) = 508980 / 2

LCM(998,510) = 254490


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 5035/998, 8815/510

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 5035/998, 8815/510?

Answer: GCF of Numerators as per given numbers 5035/998, 8815/510 is

GCF of Numerators i.e. for 5035,8815 is 5

LCM of denominators i.e. for 998,510 is 254490.

Thus, GCF of Fractions is 5/254490.Finally, GCF of Fractions for 5035/998, 8815/510 is 5/254490.