Greatest Common Factor of 8916/997, 3125/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8916/997, 3125/242

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 8916/997,3125/242

Given fractions are 8916/997,3125/242

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 8916,3125

Greatest Common Factor of Numerators i.e. GCF of 8916,3125 is 1 .

LCM of Denominators means LCM of 997,242 as per the given fractions.

LCM of 997,242 is 241274 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8916,3125

GCF of Fractions 8916/997,3125/242 is 1/241274

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

Greatest Common Factor of 8916,3125 By Matching Biggest Common Factor Method

Greatest Common Factor of 8916,3125 By Matching Biggest Common Factor Method

Factors of 8916

List of positive integer factors of 8916 that divides 8916 without a remainder.

1,2,3,4,6,12,743,1486,2229,2972,4458,8916

Factors of 3125

List of positive integer factors of 3125 that divides 3125 without a remainder.

1,5,25,125,625,3125

Greatest Common Factor

We found the factors 8916,3125 . The biggest common factor number is the GCF number.
So the greatest common factor 8916,3125 is 1.

Lets's calculate LCM of 997,242

Given numbers has no common factors except 1. So, there LCM is their product i.e 241274

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/241274

Therefore, the GCF of Fractions 8916/997,3125/242 is 1/241274

Least Common Multiple of 997,242 with GCF Formula

Least Common Multiple of 997,242 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 997,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(997,242) = 1

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

GCF(997,242) x common factors =1 x 1 = 1

LCM(997,242) = ( 997 × 242 ) / 1

LCM(997,242) = 241274 / 1

LCM(997,242) = 241274


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 8916/997, 3125/242

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 8916/997, 3125/242?

Answer: GCF of Numerators as per given numbers 8916/997, 3125/242 is

GCF of Numerators i.e. for 8916,3125 is 1

LCM of denominators i.e. for 997,242 is 241274.

Thus, GCF of Fractions is 1/241274.Finally, GCF of Fractions for 8916/997, 3125/242 is 1/241274.