Greatest Common Factor of 299/939, 1430/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 299/939, 1430/994

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 299/939,1430/994

Given fractions are 299/939,1430/994

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 299,1430

Greatest Common Factor of Numerators i.e. GCF of 299,1430 is 13 .

LCM of Denominators means LCM of 939,994 as per the given fractions.

LCM of 939,994 is 933366 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 299,1430

GCF of Fractions 299/939,1430/994 is 13/933366

13 299, 1430
23, 110

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 299,1430 By Matching Biggest Common Factor Method

Greatest Common Factor of 299,1430 By Matching Biggest Common Factor Method

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 1430

List of positive integer factors of 1430 that divides 1430 without a remainder.

1,2,5,10,11,13,22,26,55,65,110,130,143,286,715,1430

Greatest Common Factor

We found the factors 299,1430 . The biggest common factor number is the GCF number.
So the greatest common factor 299,1430 is 13.

Lets's calculate LCM of 939,994

Given numbers has no common factors except 1. So, there LCM is their product i.e 933366

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/933366

Therefore, the GCF of Fractions 299/939,1430/994 is 13/933366

Least Common Multiple of 939,994 with GCF Formula

Least Common Multiple of 939,994 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 939,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(939,994) = 1

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

GCF(939,994) x common factors =1 x 1 = 1

LCM(939,994) = ( 939 × 994 ) / 1

LCM(939,994) = 933366 / 1

LCM(939,994) = 933366


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 299/939, 1430/994

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 299/939, 1430/994?

Answer: GCF of Numerators as per given numbers 299/939, 1430/994 is

GCF of Numerators i.e. for 299,1430 is 13

LCM of denominators i.e. for 939,994 is 933366.

Thus, GCF of Fractions is 13/933366.Finally, GCF of Fractions for 299/939, 1430/994 is 13/933366.