Greatest Common Factor of 11/649, 461/924, 470/241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 11/649, 461/924, 470/241

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 11/649,461/924,470/241

Given fractions are 11/649,461/924,470/241

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 11,461,470

Greatest Common Factor of Numerators i.e. GCF of 11,461,470 is 1 .

LCM of Denominators means LCM of 649,924,241 as per the given fractions.

LCM of 649,924,241 is 13138356 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 11,461,470

GCF of Fractions 11/649,461/924,470/241 is 1/13138356

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

Greatest Common Factor of 11,461,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,461,470 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 11,461,470 . The biggest common factor number is the GCF number.
So the greatest common factor 11,461,470 is 1.

Lets's calculate LCM of 649,924,241

11 649, 924, 241
59, 84, 241

∴ So the LCM of the given numbers is 11 x 59 x 84 x 241 = 13138356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13138356

Therefore, the GCF of Fractions 11/649,461/924,470/241 is 1/13138356

Least Common Multiple of 649,924,241 with GCF Formula

Least Common Multiple of 649,924,241 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 649,924,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(649,924,241) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(649,924,241) x common factors =1 x 11 = 11

LCM(649,924,241) = ( 649 × 924 × 241 ) / 11

LCM(649,924,241) = 144521916 / 11

LCM(649,924,241) = 13138356


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 11/649, 461/924, 470/241

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 11/649, 461/924, 470/241?

Answer: GCF of Numerators as per given numbers 11/649, 461/924, 470/241 is

GCF of Numerators i.e. for 11,461,470 is 1

LCM of denominators i.e. for 649,924,241 is 13138356.

Thus, GCF of Fractions is 1/13138356.Finally, GCF of Fractions for 11/649, 461/924, 470/241 is 1/13138356.