Greatest Common Factor of 2241/40, 4893/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2241/40, 4893/986

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 2241/40,4893/986

Given fractions are 2241/40,4893/986

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 2241,4893

Greatest Common Factor of Numerators i.e. GCF of 2241,4893 is 3 .

LCM of Denominators means LCM of 40,986 as per the given fractions.

LCM of 40,986 is 19720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2241,4893

GCF of Fractions 2241/40,4893/986 is 3/19720

3 2241, 4893
747, 1631

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2241,4893 By Matching Biggest Common Factor Method

Greatest Common Factor of 2241,4893 By Matching Biggest Common Factor Method

Factors of 2241

List of positive integer factors of 2241 that divides 2241 without a remainder.

1,3,9,27,83,249,747,2241

Factors of 4893

List of positive integer factors of 4893 that divides 4893 without a remainder.

1,3,7,21,233,699,1631,4893

Greatest Common Factor

We found the factors 2241,4893 . The biggest common factor number is the GCF number.
So the greatest common factor 2241,4893 is 3.

Lets's calculate LCM of 40,986

2 40, 986
20, 493

∴ So the LCM of the given numbers is 2 x 20 x 493 = 19720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/19720

Therefore, the GCF of Fractions 2241/40,4893/986 is 3/19720

Least Common Multiple of 40,986 with GCF Formula

Least Common Multiple of 40,986 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 40,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,986) = 2

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

GCF(40,986) x common factors =2 x 1 = 2

LCM(40,986) = ( 40 × 986 ) / 2

LCM(40,986) = 39440 / 2

LCM(40,986) = 19720


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 2241/40, 4893/986

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 2241/40, 4893/986?

Answer: GCF of Numerators as per given numbers 2241/40, 4893/986 is

GCF of Numerators i.e. for 2241,4893 is 3

LCM of denominators i.e. for 40,986 is 19720.

Thus, GCF of Fractions is 3/19720.Finally, GCF of Fractions for 2241/40, 4893/986 is 3/19720.