Greatest Common Factor of 48/38, 366/80, 100/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/38, 366/80, 100/816

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 48/38,366/80,100/816

Given fractions are 48/38,366/80,100/816

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 48,366,100

Greatest Common Factor of Numerators i.e. GCF of 48,366,100 is 2 .

LCM of Denominators means LCM of 38,80,816 as per the given fractions.

LCM of 38,80,816 is 77520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,366,100

GCF of Fractions 48/38,366/80,100/816 is 2/77520

2 48, 366, 100
24, 183, 50

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

Greatest Common Factor of 48,366,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,366,100 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 48,366,100 . The biggest common factor number is the GCF number.
So the greatest common factor 48,366,100 is 2.

Lets's calculate LCM of 38,80,816

2 38, 80, 816
2 19, 40, 408
2 19, 20, 204
2 19, 10, 102
19, 5, 51

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 19 x 5 x 51 = 77520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/77520

Therefore, the GCF of Fractions 48/38,366/80,100/816 is 2/77520

Least Common Multiple of 38,80,816 with GCF Formula

Least Common Multiple of 38,80,816 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 38,80,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,80,816) = 2

common factors(in case of two or more numbers have common factors) = 16

GCF(38,80,816) x common factors =2 x 16 = 32

LCM(38,80,816) = ( 38 × 80 × 816 ) / 32

LCM(38,80,816) = 2480640 / 32

LCM(38,80,816) = 77520


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 48/38, 366/80, 100/816

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 48/38, 366/80, 100/816?

Answer: GCF of Numerators as per given numbers 48/38, 366/80, 100/816 is

GCF of Numerators i.e. for 48,366,100 is 2

LCM of denominators i.e. for 38,80,816 is 77520.

Thus, GCF of Fractions is 2/77520.Finally, GCF of Fractions for 48/38, 366/80, 100/816 is 2/77520.