Greatest Common Factor of 5741/90, 4808/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5741/90, 4808/660

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 5741/90,4808/660

Given fractions are 5741/90,4808/660

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 5741,4808

Greatest Common Factor of Numerators i.e. GCF of 5741,4808 is 1 .

LCM of Denominators means LCM of 90,660 as per the given fractions.

LCM of 90,660 is 1980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5741,4808

GCF of Fractions 5741/90,4808/660 is 1/1980

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

Greatest Common Factor of 5741,4808 By Matching Biggest Common Factor Method

Greatest Common Factor of 5741,4808 By Matching Biggest Common Factor Method

Factors of 5741

List of positive integer factors of 5741 that divides 5741 without a remainder.

1,5741

Factors of 4808

List of positive integer factors of 4808 that divides 4808 without a remainder.

1,2,4,8,601,1202,2404,4808

Greatest Common Factor

We found the factors 5741,4808 . The biggest common factor number is the GCF number.
So the greatest common factor 5741,4808 is 1.

Lets's calculate LCM of 90,660

2 90, 660
3 45, 330
5 15, 110
3, 22

∴ So the LCM of the given numbers is 2 x 3 x 5 x 3 x 22 = 1980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1980

Therefore, the GCF of Fractions 5741/90,4808/660 is 1/1980

Least Common Multiple of 90,660 with GCF Formula

Least Common Multiple of 90,660 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 90,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,660) = 30

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

GCF(90,660) x common factors =30 x 1 = 30

LCM(90,660) = ( 90 × 660 ) / 30

LCM(90,660) = 59400 / 30

LCM(90,660) = 1980


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 5741/90, 4808/660

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 5741/90, 4808/660?

Answer: GCF of Numerators as per given numbers 5741/90, 4808/660 is

GCF of Numerators i.e. for 5741,4808 is 1

LCM of denominators i.e. for 90,660 is 1980.

Thus, GCF of Fractions is 1/1980.Finally, GCF of Fractions for 5741/90, 4808/660 is 1/1980.