Greatest Common Factor of 11/41, 14/37, 388/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 11/41, 14/37, 388/540

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 11/41,14/37,388/540

Given fractions are 11/41,14/37,388/540

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 11,14,388

Greatest Common Factor of Numerators i.e. GCF of 11,14,388 is 1 .

LCM of Denominators means LCM of 41,37,540 as per the given fractions.

LCM of 41,37,540 is 819180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 11,14,388

GCF of Fractions 11/41,14/37,388/540 is 1/819180

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

Greatest Common Factor of 11,14,388 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,14,388 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Greatest Common Factor

We found the factors 11,14,388 . The biggest common factor number is the GCF number.
So the greatest common factor 11,14,388 is 1.

Lets's calculate LCM of 41,37,540

Given numbers has no common factors except 1. So, there LCM is their product i.e 819180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/819180

Therefore, the GCF of Fractions 11/41,14/37,388/540 is 1/819180

Least Common Multiple of 41,37,540 with GCF Formula

Least Common Multiple of 41,37,540 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 41,37,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,37,540) = 1

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

GCF(41,37,540) x common factors =1 x 1 = 1

LCM(41,37,540) = ( 41 × 37 × 540 ) / 1

LCM(41,37,540) = 819180 / 1

LCM(41,37,540) = 819180


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 11/41, 14/37, 388/540

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 11/41, 14/37, 388/540?

Answer: GCF of Numerators as per given numbers 11/41, 14/37, 388/540 is

GCF of Numerators i.e. for 11,14,388 is 1

LCM of denominators i.e. for 41,37,540 is 819180.

Thus, GCF of Fractions is 1/819180.Finally, GCF of Fractions for 11/41, 14/37, 388/540 is 1/819180.