Greatest Common Factor of 81/91, 14/51, 24/11, 44/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 81/91, 14/51, 24/11, 44/755

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 81/91,14/51,24/11,44/755

Given fractions are 81/91,14/51,24/11,44/755

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 81,14,24,44

Greatest Common Factor of Numerators i.e. GCF of 81,14,24,44 is 1 .

LCM of Denominators means LCM of 91,51,11,755 as per the given fractions.

LCM of 91,51,11,755 is 38543505 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 81,14,24,44

GCF of Fractions 81/91,14/51,24/11,44/755 is 1/38543505

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

Greatest Common Factor of 81,14,24,44 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,14,24,44 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Greatest Common Factor

We found the factors 81,14,24,44 . The biggest common factor number is the GCF number.
So the greatest common factor 81,14,24,44 is 1.

Lets's calculate LCM of 91,51,11,755

Given numbers has no common factors except 1. So, there LCM is their product i.e 38543505

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38543505

Therefore, the GCF of Fractions 81/91,14/51,24/11,44/755 is 1/38543505

Least Common Multiple of 91,51,11,755 with GCF Formula

Least Common Multiple of 91,51,11,755 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 91,51,11,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,51,11,755) = 1

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

GCF(91,51,11,755) x common factors =1 x 1 = 1

LCM(91,51,11,755) = ( 91 × 51 × 11 × 755 ) / 1

LCM(91,51,11,755) = 38543505 / 1

LCM(91,51,11,755) = 38543505


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 81/91, 14/51, 24/11, 44/755

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 81/91, 14/51, 24/11, 44/755?

Answer: GCF of Numerators as per given numbers 81/91, 14/51, 24/11, 44/755 is

GCF of Numerators i.e. for 81,14,24,44 is 1

LCM of denominators i.e. for 91,51,11,755 is 38543505.

Thus, GCF of Fractions is 1/38543505.Finally, GCF of Fractions for 81/91, 14/51, 24/11, 44/755 is 1/38543505.