Greatest Common Factor of 194/24, 286/31, 909/48

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 194/24, 286/31, 909/48

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 194/24,286/31,909/48

Given fractions are 194/24,286/31,909/48

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 194,286,909

Greatest Common Factor of Numerators i.e. GCF of 194,286,909 is 1 .

LCM of Denominators means LCM of 24,31,48 as per the given fractions.

LCM of 24,31,48 is 1488 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 194,286,909

GCF of Fractions 194/24,286/31,909/48 is 1/1488

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

Greatest Common Factor of 194,286,909 By Matching Biggest Common Factor Method

Greatest Common Factor of 194,286,909 By Matching Biggest Common Factor Method

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Greatest Common Factor

We found the factors 194,286,909 . The biggest common factor number is the GCF number.
So the greatest common factor 194,286,909 is 1.

Lets's calculate LCM of 24,31,48

2 24, 31, 48
2 12, 31, 24
2 6, 31, 12
3 3, 31, 6
1, 31, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 31 x 2 = 1488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1488

Therefore, the GCF of Fractions 194/24,286/31,909/48 is 1/1488

Least Common Multiple of 24,31,48 with GCF Formula

Least Common Multiple of 24,31,48 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 24,31,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,31,48) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(24,31,48) x common factors =1 x 24 = 24

LCM(24,31,48) = ( 24 × 31 × 48 ) / 24

LCM(24,31,48) = 35712 / 24

LCM(24,31,48) = 1488


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 194/24, 286/31, 909/48

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 194/24, 286/31, 909/48?

Answer: GCF of Numerators as per given numbers 194/24, 286/31, 909/48 is

GCF of Numerators i.e. for 194,286,909 is 1

LCM of denominators i.e. for 24,31,48 is 1488.

Thus, GCF of Fractions is 1/1488.Finally, GCF of Fractions for 194/24, 286/31, 909/48 is 1/1488.