Greatest Common Factor of 1845/991, 5323/7292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1845/991, 5323/7292

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 1845/991,5323/7292

Given fractions are 1845/991,5323/7292

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 1845,5323

Greatest Common Factor of Numerators i.e. GCF of 1845,5323 is 1 .

LCM of Denominators means LCM of 991,7292 as per the given fractions.

LCM of 991,7292 is 7226372 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1845,5323

GCF of Fractions 1845/991,5323/7292 is 1/7226372

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

Greatest Common Factor of 1845,5323 By Matching Biggest Common Factor Method

Greatest Common Factor of 1845,5323 By Matching Biggest Common Factor Method

Factors of 1845

List of positive integer factors of 1845 that divides 1845 without a remainder.

1,3,5,9,15,41,45,123,205,369,615,1845

Factors of 5323

List of positive integer factors of 5323 that divides 5323 without a remainder.

1,5323

Greatest Common Factor

We found the factors 1845,5323 . The biggest common factor number is the GCF number.
So the greatest common factor 1845,5323 is 1.

Lets's calculate LCM of 991,7292

Given numbers has no common factors except 1. So, there LCM is their product i.e 7226372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7226372

Therefore, the GCF of Fractions 1845/991,5323/7292 is 1/7226372

Least Common Multiple of 991,7292 with GCF Formula

Least Common Multiple of 991,7292 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 991,7292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(991,7292) = 1

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

GCF(991,7292) x common factors =1 x 1 = 1

LCM(991,7292) = ( 991 × 7292 ) / 1

LCM(991,7292) = 7226372 / 1

LCM(991,7292) = 7226372


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 1845/991, 5323/7292

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 1845/991, 5323/7292?

Answer: GCF of Numerators as per given numbers 1845/991, 5323/7292 is

GCF of Numerators i.e. for 1845,5323 is 1

LCM of denominators i.e. for 991,7292 is 7226372.

Thus, GCF of Fractions is 1/7226372.Finally, GCF of Fractions for 1845/991, 5323/7292 is 1/7226372.