Greatest Common Factor of 5/44, 41/60, 60/769, 911/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/44, 41/60, 60/769, 911/866

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 5/44,41/60,60/769,911/866

Given fractions are 5/44,41/60,60/769,911/866

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 5,41,60,911

Greatest Common Factor of Numerators i.e. GCF of 5,41,60,911 is 1 .

LCM of Denominators means LCM of 44,60,769,866 as per the given fractions.

LCM of 44,60,769,866 is 219764820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,41,60,911

GCF of Fractions 5/44,41/60,60/769,911/866 is 1/219764820

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

Greatest Common Factor of 5,41,60,911 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,41,60,911 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 911

List of positive integer factors of 911 that divides 911 without a remainder.

1,911

Greatest Common Factor

We found the factors 5,41,60,911 . The biggest common factor number is the GCF number.
So the greatest common factor 5,41,60,911 is 1.

Lets's calculate LCM of 44,60,769,866

2 44, 60, 769, 866
2 22, 30, 769, 433
11, 15, 769, 433

∴ So the LCM of the given numbers is 2 x 2 x 11 x 15 x 769 x 433 = 219764820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/219764820

Therefore, the GCF of Fractions 5/44,41/60,60/769,911/866 is 1/219764820

Least Common Multiple of 44,60,769,866 with GCF Formula

Least Common Multiple of 44,60,769,866 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 44,60,769,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,60,769,866) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(44,60,769,866) x common factors =1 x 8 = 8

LCM(44,60,769,866) = ( 44 × 60 × 769 × 866 ) / 8

LCM(44,60,769,866) = 1758118560 / 8

LCM(44,60,769,866) = 219764820


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 5/44, 41/60, 60/769, 911/866

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 5/44, 41/60, 60/769, 911/866?

Answer: GCF of Numerators as per given numbers 5/44, 41/60, 60/769, 911/866 is

GCF of Numerators i.e. for 5,41,60,911 is 1

LCM of denominators i.e. for 44,60,769,866 is 219764820.

Thus, GCF of Fractions is 1/219764820.Finally, GCF of Fractions for 5/44, 41/60, 60/769, 911/866 is 1/219764820.