Greatest Common Factor of 4009/819, 7623/3726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4009/819, 7623/3726

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 4009/819,7623/3726

Given fractions are 4009/819,7623/3726

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 4009,7623

Greatest Common Factor of Numerators i.e. GCF of 4009,7623 is 1 .

LCM of Denominators means LCM of 819,3726 as per the given fractions.

LCM of 819,3726 is 339066 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4009,7623

GCF of Fractions 4009/819,7623/3726 is 1/339066

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

Greatest Common Factor of 4009,7623 By Matching Biggest Common Factor Method

Greatest Common Factor of 4009,7623 By Matching Biggest Common Factor Method

Factors of 4009

List of positive integer factors of 4009 that divides 4009 without a remainder.

1,19,211,4009

Factors of 7623

List of positive integer factors of 7623 that divides 7623 without a remainder.

1,3,7,9,11,21,33,63,77,99,121,231,363,693,847,1089,2541,7623

Greatest Common Factor

We found the factors 4009,7623 . The biggest common factor number is the GCF number.
So the greatest common factor 4009,7623 is 1.

Lets's calculate LCM of 819,3726

3 819, 3726
3 273, 1242
91, 414

∴ So the LCM of the given numbers is 3 x 3 x 91 x 414 = 339066

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/339066

Therefore, the GCF of Fractions 4009/819,7623/3726 is 1/339066

Least Common Multiple of 819,3726 with GCF Formula

Least Common Multiple of 819,3726 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 819,3726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(819,3726) = 9

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

GCF(819,3726) x common factors =9 x 1 = 9

LCM(819,3726) = ( 819 × 3726 ) / 9

LCM(819,3726) = 3051594 / 9

LCM(819,3726) = 339066


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 4009/819, 7623/3726

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 4009/819, 7623/3726?

Answer: GCF of Numerators as per given numbers 4009/819, 7623/3726 is

GCF of Numerators i.e. for 4009,7623 is 1

LCM of denominators i.e. for 819,3726 is 339066.

Thus, GCF of Fractions is 1/339066.Finally, GCF of Fractions for 4009/819, 7623/3726 is 1/339066.