Greatest Common Factor of 44/48, 22/84, 344/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/48, 22/84, 344/305

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 44/48,22/84,344/305

Given fractions are 44/48,22/84,344/305

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 44,22,344

Greatest Common Factor of Numerators i.e. GCF of 44,22,344 is 2 .

LCM of Denominators means LCM of 48,84,305 as per the given fractions.

LCM of 48,84,305 is 102480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,22,344

GCF of Fractions 44/48,22/84,344/305 is 2/102480

2 44, 22, 344
22, 11, 172

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

Greatest Common Factor of 44,22,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,22,344 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 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 44,22,344 . The biggest common factor number is the GCF number.
So the greatest common factor 44,22,344 is 2.

Lets's calculate LCM of 48,84,305

2 48, 84, 305
2 24, 42, 305
3 12, 21, 305
4, 7, 305

∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 7 x 305 = 102480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/102480

Therefore, the GCF of Fractions 44/48,22/84,344/305 is 2/102480

Least Common Multiple of 48,84,305 with GCF Formula

Least Common Multiple of 48,84,305 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 48,84,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,84,305) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(48,84,305) x common factors =1 x 12 = 12

LCM(48,84,305) = ( 48 × 84 × 305 ) / 12

LCM(48,84,305) = 1229760 / 12

LCM(48,84,305) = 102480


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, 22/84, 344/305

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, 22/84, 344/305?

Answer: GCF of Numerators as per given numbers 44/48, 22/84, 344/305 is

GCF of Numerators i.e. for 44,22,344 is 2

LCM of denominators i.e. for 48,84,305 is 102480.

Thus, GCF of Fractions is 2/102480.Finally, GCF of Fractions for 44/48, 22/84, 344/305 is 2/102480.