Greatest Common Factor of 13/29, 10/274, 994/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/29, 10/274, 994/816

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 13/29,10/274,994/816

Given fractions are 13/29,10/274,994/816

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 13,10,994

Greatest Common Factor of Numerators i.e. GCF of 13,10,994 is 1 .

LCM of Denominators means LCM of 29,274,816 as per the given fractions.

LCM of 29,274,816 is 3241968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,10,994

GCF of Fractions 13/29,10/274,994/816 is 1/3241968

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

Greatest Common Factor of 13,10,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,10,994 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 13,10,994 . The biggest common factor number is the GCF number.
So the greatest common factor 13,10,994 is 1.

Lets's calculate LCM of 29,274,816

2 29, 274, 816
29, 137, 408

∴ So the LCM of the given numbers is 2 x 29 x 137 x 408 = 3241968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3241968

Therefore, the GCF of Fractions 13/29,10/274,994/816 is 1/3241968

Least Common Multiple of 29,274,816 with GCF Formula

Least Common Multiple of 29,274,816 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 29,274,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,274,816) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(29,274,816) x common factors =1 x 2 = 2

LCM(29,274,816) = ( 29 × 274 × 816 ) / 2

LCM(29,274,816) = 6483936 / 2

LCM(29,274,816) = 3241968


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 13/29, 10/274, 994/816

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 13/29, 10/274, 994/816?

Answer: GCF of Numerators as per given numbers 13/29, 10/274, 994/816 is

GCF of Numerators i.e. for 13,10,994 is 1

LCM of denominators i.e. for 29,274,816 is 3241968.

Thus, GCF of Fractions is 1/3241968.Finally, GCF of Fractions for 13/29, 10/274, 994/816 is 1/3241968.