Greatest Common Factor of 9844/347, 4720/5294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9844/347, 4720/5294

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 9844/347,4720/5294

Given fractions are 9844/347,4720/5294

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 9844,4720

Greatest Common Factor of Numerators i.e. GCF of 9844,4720 is 4 .

LCM of Denominators means LCM of 347,5294 as per the given fractions.

LCM of 347,5294 is 1837018 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9844,4720

GCF of Fractions 9844/347,4720/5294 is 4/1837018

2 9844, 4720
2 4922, 2360
2461, 1180

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9844,4720 By Matching Biggest Common Factor Method

Greatest Common Factor of 9844,4720 By Matching Biggest Common Factor Method

Factors of 9844

List of positive integer factors of 9844 that divides 9844 without a remainder.

1,2,4,23,46,92,107,214,428,2461,4922,9844

Factors of 4720

List of positive integer factors of 4720 that divides 4720 without a remainder.

1,2,4,5,8,10,16,20,40,59,80,118,236,295,472,590,944,1180,2360,4720

Greatest Common Factor

We found the factors 9844,4720 . The biggest common factor number is the GCF number.
So the greatest common factor 9844,4720 is 4.

Lets's calculate LCM of 347,5294

Given numbers has no common factors except 1. So, there LCM is their product i.e 1837018

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1837018

Therefore, the GCF of Fractions 9844/347,4720/5294 is 4/1837018

Least Common Multiple of 347,5294 with GCF Formula

Least Common Multiple of 347,5294 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 347,5294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(347,5294) = 1

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

GCF(347,5294) x common factors =1 x 1 = 1

LCM(347,5294) = ( 347 × 5294 ) / 1

LCM(347,5294) = 1837018 / 1

LCM(347,5294) = 1837018


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 9844/347, 4720/5294

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 9844/347, 4720/5294?

Answer: GCF of Numerators as per given numbers 9844/347, 4720/5294 is

GCF of Numerators i.e. for 9844,4720 is 4

LCM of denominators i.e. for 347,5294 is 1837018.

Thus, GCF of Fractions is 4/1837018.Finally, GCF of Fractions for 9844/347, 4720/5294 is 4/1837018.