Greatest Common Factor of 5009/741, 4526/1872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5009/741, 4526/1872

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 5009/741,4526/1872

Given fractions are 5009/741,4526/1872

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 5009,4526

Greatest Common Factor of Numerators i.e. GCF of 5009,4526 is 1 .

LCM of Denominators means LCM of 741,1872 as per the given fractions.

LCM of 741,1872 is 35568 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5009,4526

GCF of Fractions 5009/741,4526/1872 is 1/35568

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

Greatest Common Factor of 5009,4526 By Matching Biggest Common Factor Method

Greatest Common Factor of 5009,4526 By Matching Biggest Common Factor Method

Factors of 5009

List of positive integer factors of 5009 that divides 5009 without a remainder.

1,5009

Factors of 4526

List of positive integer factors of 4526 that divides 4526 without a remainder.

1,2,31,62,73,146,2263,4526

Greatest Common Factor

We found the factors 5009,4526 . The biggest common factor number is the GCF number.
So the greatest common factor 5009,4526 is 1.

Lets's calculate LCM of 741,1872

3 741, 1872
13 247, 624
19, 48

∴ So the LCM of the given numbers is 3 x 13 x 19 x 48 = 35568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35568

Therefore, the GCF of Fractions 5009/741,4526/1872 is 1/35568

Least Common Multiple of 741,1872 with GCF Formula

Least Common Multiple of 741,1872 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 741,1872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(741,1872) = 39

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

GCF(741,1872) x common factors =39 x 1 = 39

LCM(741,1872) = ( 741 × 1872 ) / 39

LCM(741,1872) = 1387152 / 39

LCM(741,1872) = 35568


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 5009/741, 4526/1872

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 5009/741, 4526/1872?

Answer: GCF of Numerators as per given numbers 5009/741, 4526/1872 is

GCF of Numerators i.e. for 5009,4526 is 1

LCM of denominators i.e. for 741,1872 is 35568.

Thus, GCF of Fractions is 1/35568.Finally, GCF of Fractions for 5009/741, 4526/1872 is 1/35568.