Greatest Common Factor of 5541/863, 8949/1421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5541/863, 8949/1421

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 5541/863,8949/1421

Given fractions are 5541/863,8949/1421

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 5541,8949

Greatest Common Factor of Numerators i.e. GCF of 5541,8949 is 3 .

LCM of Denominators means LCM of 863,1421 as per the given fractions.

LCM of 863,1421 is 1226323 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5541,8949

GCF of Fractions 5541/863,8949/1421 is 3/1226323

3 5541, 8949
1847, 2983

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

Greatest Common Factor of 5541,8949 By Matching Biggest Common Factor Method

Greatest Common Factor of 5541,8949 By Matching Biggest Common Factor Method

Factors of 5541

List of positive integer factors of 5541 that divides 5541 without a remainder.

1,3,1847,5541

Factors of 8949

List of positive integer factors of 8949 that divides 8949 without a remainder.

1,3,19,57,157,471,2983,8949

Greatest Common Factor

We found the factors 5541,8949 . The biggest common factor number is the GCF number.
So the greatest common factor 5541,8949 is 3.

Lets's calculate LCM of 863,1421

Given numbers has no common factors except 1. So, there LCM is their product i.e 1226323

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1226323

Therefore, the GCF of Fractions 5541/863,8949/1421 is 3/1226323

Least Common Multiple of 863,1421 with GCF Formula

Least Common Multiple of 863,1421 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 863,1421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(863,1421) = 1

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

GCF(863,1421) x common factors =1 x 1 = 1

LCM(863,1421) = ( 863 × 1421 ) / 1

LCM(863,1421) = 1226323 / 1

LCM(863,1421) = 1226323


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 5541/863, 8949/1421

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 5541/863, 8949/1421?

Answer: GCF of Numerators as per given numbers 5541/863, 8949/1421 is

GCF of Numerators i.e. for 5541,8949 is 3

LCM of denominators i.e. for 863,1421 is 1226323.

Thus, GCF of Fractions is 3/1226323.Finally, GCF of Fractions for 5541/863, 8949/1421 is 3/1226323.