Greatest Common Factor of 7471/249, 7719/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7471/249, 7719/838

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 7471/249,7719/838

Given fractions are 7471/249,7719/838

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 7471,7719

Greatest Common Factor of Numerators i.e. GCF of 7471,7719 is 31 .

LCM of Denominators means LCM of 249,838 as per the given fractions.

LCM of 249,838 is 208662 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7471,7719

GCF of Fractions 7471/249,7719/838 is 31/208662

31 7471, 7719
241, 249

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 7471,7719 By Matching Biggest Common Factor Method

Greatest Common Factor of 7471,7719 By Matching Biggest Common Factor Method

Factors of 7471

List of positive integer factors of 7471 that divides 7471 without a remainder.

1,31,241,7471

Factors of 7719

List of positive integer factors of 7719 that divides 7719 without a remainder.

1,3,31,83,93,249,2573,7719

Greatest Common Factor

We found the factors 7471,7719 . The biggest common factor number is the GCF number.
So the greatest common factor 7471,7719 is 31.

Lets's calculate LCM of 249,838

Given numbers has no common factors except 1. So, there LCM is their product i.e 208662

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/208662

Therefore, the GCF of Fractions 7471/249,7719/838 is 31/208662

Least Common Multiple of 249,838 with GCF Formula

Least Common Multiple of 249,838 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 249,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(249,838) = 1

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

GCF(249,838) x common factors =1 x 1 = 1

LCM(249,838) = ( 249 × 838 ) / 1

LCM(249,838) = 208662 / 1

LCM(249,838) = 208662


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 7471/249, 7719/838

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 7471/249, 7719/838?

Answer: GCF of Numerators as per given numbers 7471/249, 7719/838 is

GCF of Numerators i.e. for 7471,7719 is 31

LCM of denominators i.e. for 249,838 is 208662.

Thus, GCF of Fractions is 31/208662.Finally, GCF of Fractions for 7471/249, 7719/838 is 31/208662.