Greatest Common Factor of 8895/224, 8671/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8895/224, 8671/502

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 8895/224,8671/502

Given fractions are 8895/224,8671/502

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 8895,8671

Greatest Common Factor of Numerators i.e. GCF of 8895,8671 is 1 .

LCM of Denominators means LCM of 224,502 as per the given fractions.

LCM of 224,502 is 56224 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8895,8671

GCF of Fractions 8895/224,8671/502 is 1/56224

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

Greatest Common Factor of 8895,8671 By Matching Biggest Common Factor Method

Greatest Common Factor of 8895,8671 By Matching Biggest Common Factor Method

Factors of 8895

List of positive integer factors of 8895 that divides 8895 without a remainder.

1,3,5,15,593,1779,2965,8895

Factors of 8671

List of positive integer factors of 8671 that divides 8671 without a remainder.

1,13,23,29,299,377,667,8671

Greatest Common Factor

We found the factors 8895,8671 . The biggest common factor number is the GCF number.
So the greatest common factor 8895,8671 is 1.

Lets's calculate LCM of 224,502

2 224, 502
112, 251

∴ So the LCM of the given numbers is 2 x 112 x 251 = 56224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56224

Therefore, the GCF of Fractions 8895/224,8671/502 is 1/56224

Least Common Multiple of 224,502 with GCF Formula

Least Common Multiple of 224,502 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 224,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,502) = 2

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

GCF(224,502) x common factors =2 x 1 = 2

LCM(224,502) = ( 224 × 502 ) / 2

LCM(224,502) = 112448 / 2

LCM(224,502) = 56224


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 8895/224, 8671/502

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 8895/224, 8671/502?

Answer: GCF of Numerators as per given numbers 8895/224, 8671/502 is

GCF of Numerators i.e. for 8895,8671 is 1

LCM of denominators i.e. for 224,502 is 56224.

Thus, GCF of Fractions is 1/56224.Finally, GCF of Fractions for 8895/224, 8671/502 is 1/56224.