Greatest Common Factor of 4899/469, 8754/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4899/469, 8754/886

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 4899/469,8754/886

Given fractions are 4899/469,8754/886

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 4899,8754

Greatest Common Factor of Numerators i.e. GCF of 4899,8754 is 3 .

LCM of Denominators means LCM of 469,886 as per the given fractions.

LCM of 469,886 is 415534 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4899,8754

GCF of Fractions 4899/469,8754/886 is 3/415534

3 4899, 8754
1633, 2918

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

Greatest Common Factor of 4899,8754 By Matching Biggest Common Factor Method

Greatest Common Factor of 4899,8754 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 8754

List of positive integer factors of 8754 that divides 8754 without a remainder.

1,2,3,6,1459,2918,4377,8754

Greatest Common Factor

We found the factors 4899,8754 . The biggest common factor number is the GCF number.
So the greatest common factor 4899,8754 is 3.

Lets's calculate LCM of 469,886

Given numbers has no common factors except 1. So, there LCM is their product i.e 415534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/415534

Therefore, the GCF of Fractions 4899/469,8754/886 is 3/415534

Least Common Multiple of 469,886 with GCF Formula

Least Common Multiple of 469,886 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 469,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,886) = 1

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

GCF(469,886) x common factors =1 x 1 = 1

LCM(469,886) = ( 469 × 886 ) / 1

LCM(469,886) = 415534 / 1

LCM(469,886) = 415534


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 4899/469, 8754/886

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 4899/469, 8754/886?

Answer: GCF of Numerators as per given numbers 4899/469, 8754/886 is

GCF of Numerators i.e. for 4899,8754 is 3

LCM of denominators i.e. for 469,886 is 415534.

Thus, GCF of Fractions is 3/415534.Finally, GCF of Fractions for 4899/469, 8754/886 is 3/415534.