Greatest Common Factor of 7741/90, 1303/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7741/90, 1303/484

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 7741/90,1303/484

Given fractions are 7741/90,1303/484

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 7741,1303

Greatest Common Factor of Numerators i.e. GCF of 7741,1303 is 1 .

LCM of Denominators means LCM of 90,484 as per the given fractions.

LCM of 90,484 is 21780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7741,1303

GCF of Fractions 7741/90,1303/484 is 1/21780

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

Greatest Common Factor of 7741,1303 By Matching Biggest Common Factor Method

Greatest Common Factor of 7741,1303 By Matching Biggest Common Factor Method

Factors of 7741

List of positive integer factors of 7741 that divides 7741 without a remainder.

1,7741

Factors of 1303

List of positive integer factors of 1303 that divides 1303 without a remainder.

1,1303

Greatest Common Factor

We found the factors 7741,1303 . The biggest common factor number is the GCF number.
So the greatest common factor 7741,1303 is 1.

Lets's calculate LCM of 90,484

2 90, 484
45, 242

∴ So the LCM of the given numbers is 2 x 45 x 242 = 21780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21780

Therefore, the GCF of Fractions 7741/90,1303/484 is 1/21780

Least Common Multiple of 90,484 with GCF Formula

Least Common Multiple of 90,484 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 90,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,484) = 2

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

GCF(90,484) x common factors =2 x 1 = 2

LCM(90,484) = ( 90 × 484 ) / 2

LCM(90,484) = 43560 / 2

LCM(90,484) = 21780


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 7741/90, 1303/484

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 7741/90, 1303/484?

Answer: GCF of Numerators as per given numbers 7741/90, 1303/484 is

GCF of Numerators i.e. for 7741,1303 is 1

LCM of denominators i.e. for 90,484 is 21780.

Thus, GCF of Fractions is 1/21780.Finally, GCF of Fractions for 7741/90, 1303/484 is 1/21780.