Greatest Common Factor of 279/71, 386/41, 114/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 279/71, 386/41, 114/240

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 279/71,386/41,114/240

Given fractions are 279/71,386/41,114/240

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 279,386,114

Greatest Common Factor of Numerators i.e. GCF of 279,386,114 is 1 .

LCM of Denominators means LCM of 71,41,240 as per the given fractions.

LCM of 71,41,240 is 698640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 279,386,114

GCF of Fractions 279/71,386/41,114/240 is 1/698640

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

Greatest Common Factor of 279,386,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 279,386,114 By Matching Biggest Common Factor Method

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 279,386,114 . The biggest common factor number is the GCF number.
So the greatest common factor 279,386,114 is 1.

Lets's calculate LCM of 71,41,240

Given numbers has no common factors except 1. So, there LCM is their product i.e 698640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/698640

Therefore, the GCF of Fractions 279/71,386/41,114/240 is 1/698640

Least Common Multiple of 71,41,240 with GCF Formula

Least Common Multiple of 71,41,240 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 71,41,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,41,240) = 1

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

GCF(71,41,240) x common factors =1 x 1 = 1

LCM(71,41,240) = ( 71 × 41 × 240 ) / 1

LCM(71,41,240) = 698640 / 1

LCM(71,41,240) = 698640


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 279/71, 386/41, 114/240

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 279/71, 386/41, 114/240?

Answer: GCF of Numerators as per given numbers 279/71, 386/41, 114/240 is

GCF of Numerators i.e. for 279,386,114 is 1

LCM of denominators i.e. for 71,41,240 is 698640.

Thus, GCF of Fractions is 1/698640.Finally, GCF of Fractions for 279/71, 386/41, 114/240 is 1/698640.