Greatest Common Factor of 14/303, 294/521

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/303, 294/521

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 14/303,294/521

Given fractions are 14/303,294/521

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 14,294

Greatest Common Factor of Numerators i.e. GCF of 14,294 is 14 .

LCM of Denominators means LCM of 303,521 as per the given fractions.

LCM of 303,521 is 157863 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,294

GCF of Fractions 14/303,294/521 is 14/157863

2 14, 294
7 7, 147
1, 21

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 14,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,294 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 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 14,294 . The biggest common factor number is the GCF number.
So the greatest common factor 14,294 is 14.

Lets's calculate LCM of 303,521

Given numbers has no common factors except 1. So, there LCM is their product i.e 157863

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/157863

Therefore, the GCF of Fractions 14/303,294/521 is 14/157863

Least Common Multiple of 303,521 with GCF Formula

Least Common Multiple of 303,521 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 303,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(303,521) = 1

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

GCF(303,521) x common factors =1 x 1 = 1

LCM(303,521) = ( 303 × 521 ) / 1

LCM(303,521) = 157863 / 1

LCM(303,521) = 157863


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 14/303, 294/521

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 14/303, 294/521?

Answer: GCF of Numerators as per given numbers 14/303, 294/521 is

GCF of Numerators i.e. for 14,294 is 14

LCM of denominators i.e. for 303,521 is 157863.

Thus, GCF of Fractions is 14/157863.Finally, GCF of Fractions for 14/303, 294/521 is 14/157863.