Greatest Common Factor of 384/47, 775/76, 320/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 384/47, 775/76, 320/343

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 384/47,775/76,320/343

Given fractions are 384/47,775/76,320/343

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 384,775,320

Greatest Common Factor of Numerators i.e. GCF of 384,775,320 is 1 .

LCM of Denominators means LCM of 47,76,343 as per the given fractions.

LCM of 47,76,343 is 1225196 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 384,775,320

GCF of Fractions 384/47,775/76,320/343 is 1/1225196

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

Greatest Common Factor of 384,775,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,775,320 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 384,775,320 . The biggest common factor number is the GCF number.
So the greatest common factor 384,775,320 is 1.

Lets's calculate LCM of 47,76,343

Given numbers has no common factors except 1. So, there LCM is their product i.e 1225196

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1225196

Therefore, the GCF of Fractions 384/47,775/76,320/343 is 1/1225196

Least Common Multiple of 47,76,343 with GCF Formula

Least Common Multiple of 47,76,343 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 47,76,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,76,343) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(47,76,343) x common factors =1 x 1 = 1

LCM(47,76,343) = ( 47 × 76 × 343 ) / 1

LCM(47,76,343) = 1225196 / 1

LCM(47,76,343) = 1225196


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 384/47, 775/76, 320/343

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 384/47, 775/76, 320/343?

Answer: GCF of Numerators as per given numbers 384/47, 775/76, 320/343 is

GCF of Numerators i.e. for 384,775,320 is 1

LCM of denominators i.e. for 47,76,343 is 1225196.

Thus, GCF of Fractions is 1/1225196.Finally, GCF of Fractions for 384/47, 775/76, 320/343 is 1/1225196.