Greatest Common Factor of 241/46, 296/41, 608/32

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 241/46, 296/41, 608/32

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 241/46,296/41,608/32

Given fractions are 241/46,296/41,608/32

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 241,296,608

Greatest Common Factor of Numerators i.e. GCF of 241,296,608 is 1 .

LCM of Denominators means LCM of 46,41,32 as per the given fractions.

LCM of 46,41,32 is 30176 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 241,296,608

GCF of Fractions 241/46,296/41,608/32 is 1/30176

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

Greatest Common Factor of 241,296,608 By Matching Biggest Common Factor Method

Greatest Common Factor of 241,296,608 By Matching Biggest Common Factor Method

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors 241,296,608 . The biggest common factor number is the GCF number.
So the greatest common factor 241,296,608 is 1.

Lets's calculate LCM of 46,41,32

2 46, 41, 32
23, 41, 16

∴ So the LCM of the given numbers is 2 x 23 x 41 x 16 = 30176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30176

Therefore, the GCF of Fractions 241/46,296/41,608/32 is 1/30176

Least Common Multiple of 46,41,32 with GCF Formula

Least Common Multiple of 46,41,32 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 46,41,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,41,32) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(46,41,32) x common factors =1 x 2 = 2

LCM(46,41,32) = ( 46 × 41 × 32 ) / 2

LCM(46,41,32) = 60352 / 2

LCM(46,41,32) = 30176


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 241/46, 296/41, 608/32

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 241/46, 296/41, 608/32?

Answer: GCF of Numerators as per given numbers 241/46, 296/41, 608/32 is

GCF of Numerators i.e. for 241,296,608 is 1

LCM of denominators i.e. for 46,41,32 is 30176.

Thus, GCF of Fractions is 1/30176.Finally, GCF of Fractions for 241/46, 296/41, 608/32 is 1/30176.