Greatest Common Factor of 5794/405, 9309/8725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5794/405, 9309/8725

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 5794/405,9309/8725

Given fractions are 5794/405,9309/8725

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 5794,9309

Greatest Common Factor of Numerators i.e. GCF of 5794,9309 is 1 .

LCM of Denominators means LCM of 405,8725 as per the given fractions.

LCM of 405,8725 is 706725 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5794,9309

GCF of Fractions 5794/405,9309/8725 is 1/706725

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

Greatest Common Factor of 5794,9309 By Matching Biggest Common Factor Method

Greatest Common Factor of 5794,9309 By Matching Biggest Common Factor Method

Factors of 5794

List of positive integer factors of 5794 that divides 5794 without a remainder.

1,2,2897,5794

Factors of 9309

List of positive integer factors of 9309 that divides 9309 without a remainder.

1,3,29,87,107,321,3103,9309

Greatest Common Factor

We found the factors 5794,9309 . The biggest common factor number is the GCF number.
So the greatest common factor 5794,9309 is 1.

Lets's calculate LCM of 405,8725

5 405, 8725
81, 1745

∴ So the LCM of the given numbers is 5 x 81 x 1745 = 706725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/706725

Therefore, the GCF of Fractions 5794/405,9309/8725 is 1/706725

Least Common Multiple of 405,8725 with GCF Formula

Least Common Multiple of 405,8725 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 405,8725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,8725) = 5

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

GCF(405,8725) x common factors =5 x 1 = 5

LCM(405,8725) = ( 405 × 8725 ) / 5

LCM(405,8725) = 3533625 / 5

LCM(405,8725) = 706725


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 5794/405, 9309/8725

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 5794/405, 9309/8725?

Answer: GCF of Numerators as per given numbers 5794/405, 9309/8725 is

GCF of Numerators i.e. for 5794,9309 is 1

LCM of denominators i.e. for 405,8725 is 706725.

Thus, GCF of Fractions is 1/706725.Finally, GCF of Fractions for 5794/405, 9309/8725 is 1/706725.