Greatest Common Factor of 241/730, 478/920, 976/771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 241/730, 478/920, 976/771

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 241/730,478/920,976/771

Given fractions are 241/730,478/920,976/771

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 241,478,976

Greatest Common Factor of Numerators i.e. GCF of 241,478,976 is 1 .

LCM of Denominators means LCM of 730,920,771 as per the given fractions.

LCM of 730,920,771 is 51780360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 241,478,976

GCF of Fractions 241/730,478/920,976/771 is 1/51780360

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

Greatest Common Factor of 241,478,976 By Matching Biggest Common Factor Method

Greatest Common Factor of 241,478,976 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 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Greatest Common Factor

We found the factors 241,478,976 . The biggest common factor number is the GCF number.
So the greatest common factor 241,478,976 is 1.

Lets's calculate LCM of 730,920,771

2 730, 920, 771
5 365, 460, 771
73, 92, 771

∴ So the LCM of the given numbers is 2 x 5 x 73 x 92 x 771 = 51780360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51780360

Therefore, the GCF of Fractions 241/730,478/920,976/771 is 1/51780360

Least Common Multiple of 730,920,771 with GCF Formula

Least Common Multiple of 730,920,771 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 730,920,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(730,920,771) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(730,920,771) x common factors =1 x 10 = 10

LCM(730,920,771) = ( 730 × 920 × 771 ) / 10

LCM(730,920,771) = 517803600 / 10

LCM(730,920,771) = 51780360


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 241/730, 478/920, 976/771

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 241/730, 478/920, 976/771?

Answer: GCF of Numerators as per given numbers 241/730, 478/920, 976/771 is

GCF of Numerators i.e. for 241,478,976 is 1

LCM of denominators i.e. for 730,920,771 is 51780360.

Thus, GCF of Fractions is 1/51780360.Finally, GCF of Fractions for 241/730, 478/920, 976/771 is 1/51780360.