Greatest Common Factor of 5845/291, 9737/8446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5845/291, 9737/8446

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 5845/291,9737/8446

Given fractions are 5845/291,9737/8446

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 5845,9737

Greatest Common Factor of Numerators i.e. GCF of 5845,9737 is 7 .

LCM of Denominators means LCM of 291,8446 as per the given fractions.

LCM of 291,8446 is 2457786 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5845,9737

GCF of Fractions 5845/291,9737/8446 is 7/2457786

7 5845, 9737
835, 1391

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 5845,9737 By Matching Biggest Common Factor Method

Greatest Common Factor of 5845,9737 By Matching Biggest Common Factor Method

Factors of 5845

List of positive integer factors of 5845 that divides 5845 without a remainder.

1,5,7,35,167,835,1169,5845

Factors of 9737

List of positive integer factors of 9737 that divides 9737 without a remainder.

1,7,13,91,107,749,1391,9737

Greatest Common Factor

We found the factors 5845,9737 . The biggest common factor number is the GCF number.
So the greatest common factor 5845,9737 is 7.

Lets's calculate LCM of 291,8446

Given numbers has no common factors except 1. So, there LCM is their product i.e 2457786

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2457786

Therefore, the GCF of Fractions 5845/291,9737/8446 is 7/2457786

Least Common Multiple of 291,8446 with GCF Formula

Least Common Multiple of 291,8446 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 291,8446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(291,8446) = 1

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

GCF(291,8446) x common factors =1 x 1 = 1

LCM(291,8446) = ( 291 × 8446 ) / 1

LCM(291,8446) = 2457786 / 1

LCM(291,8446) = 2457786


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 5845/291, 9737/8446

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 5845/291, 9737/8446?

Answer: GCF of Numerators as per given numbers 5845/291, 9737/8446 is

GCF of Numerators i.e. for 5845,9737 is 7

LCM of denominators i.e. for 291,8446 is 2457786.

Thus, GCF of Fractions is 7/2457786.Finally, GCF of Fractions for 5845/291, 9737/8446 is 7/2457786.