Greatest Common Factor of 7210/41, 5840/479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7210/41, 5840/479

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 7210/41,5840/479

Given fractions are 7210/41,5840/479

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 7210,5840

Greatest Common Factor of Numerators i.e. GCF of 7210,5840 is 10 .

LCM of Denominators means LCM of 41,479 as per the given fractions.

LCM of 41,479 is 19639 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7210,5840

GCF of Fractions 7210/41,5840/479 is 10/19639

2 7210, 5840
5 3605, 2920
721, 584

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 7210,5840 By Matching Biggest Common Factor Method

Greatest Common Factor of 7210,5840 By Matching Biggest Common Factor Method

Factors of 7210

List of positive integer factors of 7210 that divides 7210 without a remainder.

1,2,5,7,10,14,35,70,103,206,515,721,1030,1442,3605,7210

Factors of 5840

List of positive integer factors of 5840 that divides 5840 without a remainder.

1,2,4,5,8,10,16,20,40,73,80,146,292,365,584,730,1168,1460,2920,5840

Greatest Common Factor

We found the factors 7210,5840 . The biggest common factor number is the GCF number.
So the greatest common factor 7210,5840 is 10.

Lets's calculate LCM of 41,479

Given numbers has no common factors except 1. So, there LCM is their product i.e 19639

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/19639

Therefore, the GCF of Fractions 7210/41,5840/479 is 10/19639

Least Common Multiple of 41,479 with GCF Formula

Least Common Multiple of 41,479 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 41,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,479) = 1

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

GCF(41,479) x common factors =1 x 1 = 1

LCM(41,479) = ( 41 × 479 ) / 1

LCM(41,479) = 19639 / 1

LCM(41,479) = 19639


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 7210/41, 5840/479

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 7210/41, 5840/479?

Answer: GCF of Numerators as per given numbers 7210/41, 5840/479 is

GCF of Numerators i.e. for 7210,5840 is 10

LCM of denominators i.e. for 41,479 is 19639.

Thus, GCF of Fractions is 10/19639.Finally, GCF of Fractions for 7210/41, 5840/479 is 10/19639.