Greatest Common Factor of 347/38, 361/41, 287/12

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 347/38, 361/41, 287/12

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 347/38,361/41,287/12

Given fractions are 347/38,361/41,287/12

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 347,361,287

Greatest Common Factor of Numerators i.e. GCF of 347,361,287 is 1 .

LCM of Denominators means LCM of 38,41,12 as per the given fractions.

LCM of 38,41,12 is 9348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 347,361,287

GCF of Fractions 347/38,361/41,287/12 is 1/9348

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

Greatest Common Factor of 347,361,287 By Matching Biggest Common Factor Method

Greatest Common Factor of 347,361,287 By Matching Biggest Common Factor Method

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Greatest Common Factor

We found the factors 347,361,287 . The biggest common factor number is the GCF number.
So the greatest common factor 347,361,287 is 1.

Lets's calculate LCM of 38,41,12

2 38, 41, 12
19, 41, 6

∴ So the LCM of the given numbers is 2 x 19 x 41 x 6 = 9348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9348

Therefore, the GCF of Fractions 347/38,361/41,287/12 is 1/9348

Least Common Multiple of 38,41,12 with GCF Formula

Least Common Multiple of 38,41,12 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 38,41,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,41,12) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(38,41,12) x common factors =1 x 2 = 2

LCM(38,41,12) = ( 38 × 41 × 12 ) / 2

LCM(38,41,12) = 18696 / 2

LCM(38,41,12) = 9348


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 347/38, 361/41, 287/12

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 347/38, 361/41, 287/12?

Answer: GCF of Numerators as per given numbers 347/38, 361/41, 287/12 is

GCF of Numerators i.e. for 347,361,287 is 1

LCM of denominators i.e. for 38,41,12 is 9348.

Thus, GCF of Fractions is 1/9348.Finally, GCF of Fractions for 347/38, 361/41, 287/12 is 1/9348.