Greatest Common Factor of 5344/291, 9910/6379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5344/291, 9910/6379

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 5344/291,9910/6379

Given fractions are 5344/291,9910/6379

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 5344,9910

Greatest Common Factor of Numerators i.e. GCF of 5344,9910 is 2 .

LCM of Denominators means LCM of 291,6379 as per the given fractions.

LCM of 291,6379 is 1856289 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5344,9910

GCF of Fractions 5344/291,9910/6379 is 2/1856289

2 5344, 9910
2672, 4955

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

Greatest Common Factor of 5344,9910 By Matching Biggest Common Factor Method

Greatest Common Factor of 5344,9910 By Matching Biggest Common Factor Method

Factors of 5344

List of positive integer factors of 5344 that divides 5344 without a remainder.

1,2,4,8,16,32,167,334,668,1336,2672,5344

Factors of 9910

List of positive integer factors of 9910 that divides 9910 without a remainder.

1,2,5,10,991,1982,4955,9910

Greatest Common Factor

We found the factors 5344,9910 . The biggest common factor number is the GCF number.
So the greatest common factor 5344,9910 is 2.

Lets's calculate LCM of 291,6379

Given numbers has no common factors except 1. So, there LCM is their product i.e 1856289

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1856289

Therefore, the GCF of Fractions 5344/291,9910/6379 is 2/1856289

Least Common Multiple of 291,6379 with GCF Formula

Least Common Multiple of 291,6379 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 291,6379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(291,6379) = 1

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

GCF(291,6379) x common factors =1 x 1 = 1

LCM(291,6379) = ( 291 × 6379 ) / 1

LCM(291,6379) = 1856289 / 1

LCM(291,6379) = 1856289


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 5344/291, 9910/6379

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 5344/291, 9910/6379?

Answer: GCF of Numerators as per given numbers 5344/291, 9910/6379 is

GCF of Numerators i.e. for 5344,9910 is 2

LCM of denominators i.e. for 291,6379 is 1856289.

Thus, GCF of Fractions is 2/1856289.Finally, GCF of Fractions for 5344/291, 9910/6379 is 2/1856289.