Greatest Common Factor of 14/90, 464/96, 276/597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/90, 464/96, 276/597

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 14/90,464/96,276/597

Given fractions are 14/90,464/96,276/597

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 14,464,276

Greatest Common Factor of Numerators i.e. GCF of 14,464,276 is 2 .

LCM of Denominators means LCM of 90,96,597 as per the given fractions.

LCM of 90,96,597 is 286560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,464,276

GCF of Fractions 14/90,464/96,276/597 is 2/286560

2 14, 464, 276
7, 232, 138

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

Greatest Common Factor of 14,464,276 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,464,276 By Matching Biggest Common Factor Method

Factors of 14

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

1,2,7,14

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 14,464,276 . The biggest common factor number is the GCF number.
So the greatest common factor 14,464,276 is 2.

Lets's calculate LCM of 90,96,597

2 90, 96, 597
3 45, 48, 597
15, 16, 199

∴ So the LCM of the given numbers is 2 x 3 x 15 x 16 x 199 = 286560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/286560

Therefore, the GCF of Fractions 14/90,464/96,276/597 is 2/286560

Least Common Multiple of 90,96,597 with GCF Formula

Least Common Multiple of 90,96,597 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 90,96,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,96,597) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(90,96,597) x common factors =3 x 6 = 18

LCM(90,96,597) = ( 90 × 96 × 597 ) / 18

LCM(90,96,597) = 5158080 / 18

LCM(90,96,597) = 286560


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 14/90, 464/96, 276/597

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 14/90, 464/96, 276/597?

Answer: GCF of Numerators as per given numbers 14/90, 464/96, 276/597 is

GCF of Numerators i.e. for 14,464,276 is 2

LCM of denominators i.e. for 90,96,597 is 286560.

Thus, GCF of Fractions is 2/286560.Finally, GCF of Fractions for 14/90, 464/96, 276/597 is 2/286560.