Greatest Common Factor of 9844/100, 4491/3919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 9844/100, 4491/3919

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 9844/100,4491/3919

Given fractions are 9844/100,4491/3919

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 9844,4491

Greatest Common Factor of Numerators i.e. GCF of 9844,4491 is 1 .

LCM of Denominators means LCM of 100,3919 as per the given fractions.

LCM of 100,3919 is 391900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9844,4491

GCF of Fractions 9844/100,4491/3919 is 1/391900

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

Greatest Common Factor of 9844,4491 By Matching Biggest Common Factor Method

Greatest Common Factor of 9844,4491 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 4491

List of positive integer factors of 4491 that divides 4491 without a remainder.

1,3,9,499,1497,4491

Greatest Common Factor

We found the factors 9844,4491 . The biggest common factor number is the GCF number.
So the greatest common factor 9844,4491 is 1.


Lets's calculate LCM of 100,3919

Given numbers has no common factors except 1. So, there LCM is their product i.e 391900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/391900

Therefore, the GCF of Fractions 9844/100,4491/3919 is 1/391900

Least Common Multiple of 100,3919 with GCF Formula

Least Common Multiple of 100,3919 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 100,3919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,3919) = 1

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

GCF(100,3919) x common factors =1 x 1 = 1

LCM(100,3919) = ( 100 × 3919 ) / 1

LCM(100,3919) = 391900 / 1

LCM(100,3919) = 391900


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 9844/100, 4491/3919

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 9844/100, 4491/3919?

Answer: GCF of Numerators as per given numbers 9844/100, 4491/3919 is

GCF of Numerators i.e. for 9844,4491 is 1

LCM of denominators i.e. for 100,3919 is 391900.

Thus, GCF of Fractions is 1/391900.Finally, GCF of Fractions for 9844/100, 4491/3919 is 1/391900.