Greatest Common Factor of 9292/768, 4241/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9292/768, 4241/944

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 9292/768,4241/944

Given fractions are 9292/768,4241/944

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 9292,4241

Greatest Common Factor of Numerators i.e. GCF of 9292,4241 is 1 .

LCM of Denominators means LCM of 768,944 as per the given fractions.

LCM of 768,944 is 45312 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9292,4241

GCF of Fractions 9292/768,4241/944 is 1/45312

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

Greatest Common Factor of 9292,4241 By Matching Biggest Common Factor Method

Greatest Common Factor of 9292,4241 By Matching Biggest Common Factor Method

Factors of 9292

List of positive integer factors of 9292 that divides 9292 without a remainder.

1,2,4,23,46,92,101,202,404,2323,4646,9292

Factors of 4241

List of positive integer factors of 4241 that divides 4241 without a remainder.

1,4241

Greatest Common Factor

We found the factors 9292,4241 . The biggest common factor number is the GCF number.
So the greatest common factor 9292,4241 is 1.

Lets's calculate LCM of 768,944

2 768, 944
2 384, 472
2 192, 236
2 96, 118
48, 59

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 48 x 59 = 45312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45312

Therefore, the GCF of Fractions 9292/768,4241/944 is 1/45312

Least Common Multiple of 768,944 with GCF Formula

Least Common Multiple of 768,944 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 768,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,944) = 16

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

GCF(768,944) x common factors =16 x 1 = 16

LCM(768,944) = ( 768 × 944 ) / 16

LCM(768,944) = 724992 / 16

LCM(768,944) = 45312


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 9292/768, 4241/944

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 9292/768, 4241/944?

Answer: GCF of Numerators as per given numbers 9292/768, 4241/944 is

GCF of Numerators i.e. for 9292,4241 is 1

LCM of denominators i.e. for 768,944 is 45312.

Thus, GCF of Fractions is 1/45312.Finally, GCF of Fractions for 9292/768, 4241/944 is 1/45312.