Greatest Common Factor of 4899/810, 5434/4101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4899/810, 5434/4101

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 4899/810,5434/4101

Given fractions are 4899/810,5434/4101

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 4899,5434

Greatest Common Factor of Numerators i.e. GCF of 4899,5434 is 1 .

LCM of Denominators means LCM of 810,4101 as per the given fractions.

LCM of 810,4101 is 1107270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4899,5434

GCF of Fractions 4899/810,5434/4101 is 1/1107270

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

Greatest Common Factor of 4899,5434 By Matching Biggest Common Factor Method

Greatest Common Factor of 4899,5434 By Matching Biggest Common Factor Method

Factors of 4899

List of positive integer factors of 4899 that divides 4899 without a remainder.

1,3,23,69,71,213,1633,4899

Factors of 5434

List of positive integer factors of 5434 that divides 5434 without a remainder.

1,2,11,13,19,22,26,38,143,209,247,286,418,494,2717,5434

Greatest Common Factor

We found the factors 4899,5434 . The biggest common factor number is the GCF number.
So the greatest common factor 4899,5434 is 1.

Lets's calculate LCM of 810,4101

3 810, 4101
270, 1367

∴ So the LCM of the given numbers is 3 x 270 x 1367 = 1107270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1107270

Therefore, the GCF of Fractions 4899/810,5434/4101 is 1/1107270

Least Common Multiple of 810,4101 with GCF Formula

Least Common Multiple of 810,4101 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 810,4101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,4101) = 3

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

GCF(810,4101) x common factors =3 x 1 = 3

LCM(810,4101) = ( 810 × 4101 ) / 3

LCM(810,4101) = 3321810 / 3

LCM(810,4101) = 1107270


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 4899/810, 5434/4101

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 4899/810, 5434/4101?

Answer: GCF of Numerators as per given numbers 4899/810, 5434/4101 is

GCF of Numerators i.e. for 4899,5434 is 1

LCM of denominators i.e. for 810,4101 is 1107270.

Thus, GCF of Fractions is 1/1107270.Finally, GCF of Fractions for 4899/810, 5434/4101 is 1/1107270.