Greatest Common Factor of 7850/885, 5508/5289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7850/885, 5508/5289

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 7850/885,5508/5289

Given fractions are 7850/885,5508/5289

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 7850,5508

Greatest Common Factor of Numerators i.e. GCF of 7850,5508 is 2 .

LCM of Denominators means LCM of 885,5289 as per the given fractions.

LCM of 885,5289 is 1560255 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7850,5508

GCF of Fractions 7850/885,5508/5289 is 2/1560255

2 7850, 5508
3925, 2754

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7850,5508 By Matching Biggest Common Factor Method

Greatest Common Factor of 7850,5508 By Matching Biggest Common Factor Method

Factors of 7850

List of positive integer factors of 7850 that divides 7850 without a remainder.

1,2,5,10,25,50,157,314,785,1570,3925,7850

Factors of 5508

List of positive integer factors of 5508 that divides 5508 without a remainder.

1,2,3,4,6,9,12,17,18,27,34,36,51,54,68,81,102,108,153,162,204,306,324,459,612,918,1377,1836,2754,5508

Greatest Common Factor

We found the factors 7850,5508 . The biggest common factor number is the GCF number.
So the greatest common factor 7850,5508 is 2.

Lets's calculate LCM of 885,5289

3 885, 5289
295, 1763

∴ So the LCM of the given numbers is 3 x 295 x 1763 = 1560255

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1560255

Therefore, the GCF of Fractions 7850/885,5508/5289 is 2/1560255

Least Common Multiple of 885,5289 with GCF Formula

Least Common Multiple of 885,5289 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 885,5289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(885,5289) = 3

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

GCF(885,5289) x common factors =3 x 1 = 3

LCM(885,5289) = ( 885 × 5289 ) / 3

LCM(885,5289) = 4680765 / 3

LCM(885,5289) = 1560255


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 7850/885, 5508/5289

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 7850/885, 5508/5289?

Answer: GCF of Numerators as per given numbers 7850/885, 5508/5289 is

GCF of Numerators i.e. for 7850,5508 is 2

LCM of denominators i.e. for 885,5289 is 1560255.

Thus, GCF of Fractions is 2/1560255.Finally, GCF of Fractions for 7850/885, 5508/5289 is 2/1560255.