Greatest Common Factor of 44/48, 88/45, 10/50, 866/27

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/48, 88/45, 10/50, 866/27

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 44/48,88/45,10/50,866/27

Given fractions are 44/48,88/45,10/50,866/27

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 44,88,10,866

Greatest Common Factor of Numerators i.e. GCF of 44,88,10,866 is 2 .

LCM of Denominators means LCM of 48,45,50,27 as per the given fractions.

LCM of 48,45,50,27 is 10800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,88,10,866

GCF of Fractions 44/48,88/45,10/50,866/27 is 2/10800

2 44, 88, 10, 866
22, 44, 5, 433

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 44,88,10,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,88,10,866 By Matching Biggest Common Factor Method

Factors of 44

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

1,2,4,11,22,44

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 44,88,10,866 . The biggest common factor number is the GCF number.
So the greatest common factor 44,88,10,866 is 2.

Lets's calculate LCM of 48,45,50,27

2 48, 45, 50, 27
3 24, 45, 25, 27
3 8, 15, 25, 9
5 8, 5, 25, 3
8, 1, 5, 3

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 8 x 1 x 5 x 3 = 10800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10800

Therefore, the GCF of Fractions 44/48,88/45,10/50,866/27 is 2/10800

Least Common Multiple of 48,45,50,27 with GCF Formula

Least Common Multiple of 48,45,50,27 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 48,45,50,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,45,50,27) = 1

common factors(in case of two or more numbers have common factors) = 270

GCF(48,45,50,27) x common factors =1 x 270 = 270

LCM(48,45,50,27) = ( 48 × 45 × 50 × 27 ) / 270

LCM(48,45,50,27) = 2916000 / 270

LCM(48,45,50,27) = 10800


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 44/48, 88/45, 10/50, 866/27

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 44/48, 88/45, 10/50, 866/27?

Answer: GCF of Numerators as per given numbers 44/48, 88/45, 10/50, 866/27 is

GCF of Numerators i.e. for 44,88,10,866 is 2

LCM of denominators i.e. for 48,45,50,27 is 10800.

Thus, GCF of Fractions is 2/10800.Finally, GCF of Fractions for 44/48, 88/45, 10/50, 866/27 is 2/10800.