Greatest Common Factor of 7503/409, 1644/4239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7503/409, 1644/4239

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 7503/409,1644/4239

Given fractions are 7503/409,1644/4239

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 7503,1644

Greatest Common Factor of Numerators i.e. GCF of 7503,1644 is 3 .

LCM of Denominators means LCM of 409,4239 as per the given fractions.

LCM of 409,4239 is 1733751 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7503,1644

GCF of Fractions 7503/409,1644/4239 is 3/1733751

3 7503, 1644
2501, 548

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

Greatest Common Factor of 7503,1644 By Matching Biggest Common Factor Method

Greatest Common Factor of 7503,1644 By Matching Biggest Common Factor Method

Factors of 7503

List of positive integer factors of 7503 that divides 7503 without a remainder.

1,3,41,61,123,183,2501,7503

Factors of 1644

List of positive integer factors of 1644 that divides 1644 without a remainder.

1,2,3,4,6,12,137,274,411,548,822,1644

Greatest Common Factor

We found the factors 7503,1644 . The biggest common factor number is the GCF number.
So the greatest common factor 7503,1644 is 3.

Lets's calculate LCM of 409,4239

Given numbers has no common factors except 1. So, there LCM is their product i.e 1733751

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1733751

Therefore, the GCF of Fractions 7503/409,1644/4239 is 3/1733751

Least Common Multiple of 409,4239 with GCF Formula

Least Common Multiple of 409,4239 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 409,4239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(409,4239) = 1

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

GCF(409,4239) x common factors =1 x 1 = 1

LCM(409,4239) = ( 409 × 4239 ) / 1

LCM(409,4239) = 1733751 / 1

LCM(409,4239) = 1733751


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 7503/409, 1644/4239

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 7503/409, 1644/4239?

Answer: GCF of Numerators as per given numbers 7503/409, 1644/4239 is

GCF of Numerators i.e. for 7503,1644 is 3

LCM of denominators i.e. for 409,4239 is 1733751.

Thus, GCF of Fractions is 3/1733751.Finally, GCF of Fractions for 7503/409, 1644/4239 is 3/1733751.