Greatest Common Factor of 4703/696, 2409/1719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4703/696, 2409/1719

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 4703/696,2409/1719

Given fractions are 4703/696,2409/1719

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 4703,2409

Greatest Common Factor of Numerators i.e. GCF of 4703,2409 is 1 .

LCM of Denominators means LCM of 696,1719 as per the given fractions.

LCM of 696,1719 is 398808 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4703,2409

GCF of Fractions 4703/696,2409/1719 is 1/398808

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

Greatest Common Factor of 4703,2409 By Matching Biggest Common Factor Method

Greatest Common Factor of 4703,2409 By Matching Biggest Common Factor Method

Factors of 4703

List of positive integer factors of 4703 that divides 4703 without a remainder.

1,4703

Factors of 2409

List of positive integer factors of 2409 that divides 2409 without a remainder.

1,3,11,33,73,219,803,2409

Greatest Common Factor

We found the factors 4703,2409 . The biggest common factor number is the GCF number.
So the greatest common factor 4703,2409 is 1.

Lets's calculate LCM of 696,1719

3 696, 1719
232, 573

∴ So the LCM of the given numbers is 3 x 232 x 573 = 398808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/398808

Therefore, the GCF of Fractions 4703/696,2409/1719 is 1/398808

Least Common Multiple of 696,1719 with GCF Formula

Least Common Multiple of 696,1719 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 696,1719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,1719) = 3

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

GCF(696,1719) x common factors =3 x 1 = 3

LCM(696,1719) = ( 696 × 1719 ) / 3

LCM(696,1719) = 1196424 / 3

LCM(696,1719) = 398808


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 4703/696, 2409/1719

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 4703/696, 2409/1719?

Answer: GCF of Numerators as per given numbers 4703/696, 2409/1719 is

GCF of Numerators i.e. for 4703,2409 is 1

LCM of denominators i.e. for 696,1719 is 398808.

Thus, GCF of Fractions is 1/398808.Finally, GCF of Fractions for 4703/696, 2409/1719 is 1/398808.