Greatest Common Factor of 7202/407, 5841/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7202/407, 5841/990

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 7202/407,5841/990

Given fractions are 7202/407,5841/990

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 7202,5841

Greatest Common Factor of Numerators i.e. GCF of 7202,5841 is 1 .

LCM of Denominators means LCM of 407,990 as per the given fractions.

LCM of 407,990 is 36630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7202,5841

GCF of Fractions 7202/407,5841/990 is 1/36630

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

Greatest Common Factor of 7202,5841 By Matching Biggest Common Factor Method

Greatest Common Factor of 7202,5841 By Matching Biggest Common Factor Method

Factors of 7202

List of positive integer factors of 7202 that divides 7202 without a remainder.

1,2,13,26,277,554,3601,7202

Factors of 5841

List of positive integer factors of 5841 that divides 5841 without a remainder.

1,3,9,11,33,59,99,177,531,649,1947,5841

Greatest Common Factor

We found the factors 7202,5841 . The biggest common factor number is the GCF number.
So the greatest common factor 7202,5841 is 1.

Lets's calculate LCM of 407,990

11 407, 990
37, 90

∴ So the LCM of the given numbers is 11 x 37 x 90 = 36630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36630

Therefore, the GCF of Fractions 7202/407,5841/990 is 1/36630

Least Common Multiple of 407,990 with GCF Formula

Least Common Multiple of 407,990 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 407,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,990) = 11

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

GCF(407,990) x common factors =11 x 1 = 11

LCM(407,990) = ( 407 × 990 ) / 11

LCM(407,990) = 402930 / 11

LCM(407,990) = 36630


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 7202/407, 5841/990

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 7202/407, 5841/990?

Answer: GCF of Numerators as per given numbers 7202/407, 5841/990 is

GCF of Numerators i.e. for 7202,5841 is 1

LCM of denominators i.e. for 407,990 is 36630.

Thus, GCF of Fractions is 1/36630.Finally, GCF of Fractions for 7202/407, 5841/990 is 1/36630.