Greatest Common Factor of 241/12, 896/93, 104/473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 241/12, 896/93, 104/473

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 241/12,896/93,104/473

Given fractions are 241/12,896/93,104/473

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 241,896,104

Greatest Common Factor of Numerators i.e. GCF of 241,896,104 is 1 .

LCM of Denominators means LCM of 12,93,473 as per the given fractions.

LCM of 12,93,473 is 175956 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 241,896,104

GCF of Fractions 241/12,896/93,104/473 is 1/175956

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

Greatest Common Factor of 241,896,104 By Matching Biggest Common Factor Method

Greatest Common Factor of 241,896,104 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 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Greatest Common Factor

We found the factors 241,896,104 . The biggest common factor number is the GCF number.
So the greatest common factor 241,896,104 is 1.

Lets's calculate LCM of 12,93,473

3 12, 93, 473
4, 31, 473

∴ So the LCM of the given numbers is 3 x 4 x 31 x 473 = 175956

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175956

Therefore, the GCF of Fractions 241/12,896/93,104/473 is 1/175956

Least Common Multiple of 12,93,473 with GCF Formula

Least Common Multiple of 12,93,473 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 12,93,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,93,473) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(12,93,473) x common factors =1 x 3 = 3

LCM(12,93,473) = ( 12 × 93 × 473 ) / 3

LCM(12,93,473) = 527868 / 3

LCM(12,93,473) = 175956


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 241/12, 896/93, 104/473

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 241/12, 896/93, 104/473?

Answer: GCF of Numerators as per given numbers 241/12, 896/93, 104/473 is

GCF of Numerators i.e. for 241,896,104 is 1

LCM of denominators i.e. for 12,93,473 is 175956.

Thus, GCF of Fractions is 1/175956.Finally, GCF of Fractions for 241/12, 896/93, 104/473 is 1/175956.