Greatest Common Factor of 7909/90, 5735/873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7909/90, 5735/873

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 7909/90,5735/873

Given fractions are 7909/90,5735/873

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 7909,5735

Greatest Common Factor of Numerators i.e. GCF of 7909,5735 is 1 .

LCM of Denominators means LCM of 90,873 as per the given fractions.

LCM of 90,873 is 8730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7909,5735

GCF of Fractions 7909/90,5735/873 is 1/8730

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

Greatest Common Factor of 7909,5735 By Matching Biggest Common Factor Method

Greatest Common Factor of 7909,5735 By Matching Biggest Common Factor Method

Factors of 7909

List of positive integer factors of 7909 that divides 7909 without a remainder.

1,11,719,7909

Factors of 5735

List of positive integer factors of 5735 that divides 5735 without a remainder.

1,5,31,37,155,185,1147,5735

Greatest Common Factor

We found the factors 7909,5735 . The biggest common factor number is the GCF number.
So the greatest common factor 7909,5735 is 1.

Lets's calculate LCM of 90,873

3 90, 873
3 30, 291
10, 97

∴ So the LCM of the given numbers is 3 x 3 x 10 x 97 = 8730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8730

Therefore, the GCF of Fractions 7909/90,5735/873 is 1/8730

Least Common Multiple of 90,873 with GCF Formula

Least Common Multiple of 90,873 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 90,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,873) = 9

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

GCF(90,873) x common factors =9 x 1 = 9

LCM(90,873) = ( 90 × 873 ) / 9

LCM(90,873) = 78570 / 9

LCM(90,873) = 8730


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 7909/90, 5735/873

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 7909/90, 5735/873?

Answer: GCF of Numerators as per given numbers 7909/90, 5735/873 is

GCF of Numerators i.e. for 7909,5735 is 1

LCM of denominators i.e. for 90,873 is 8730.

Thus, GCF of Fractions is 1/8730.Finally, GCF of Fractions for 7909/90, 5735/873 is 1/8730.