Greatest Common Factor of 7343/713, 9523/5500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7343/713, 9523/5500

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 7343/713,9523/5500

Given fractions are 7343/713,9523/5500

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 7343,9523

Greatest Common Factor of Numerators i.e. GCF of 7343,9523 is 1 .

LCM of Denominators means LCM of 713,5500 as per the given fractions.

LCM of 713,5500 is 3921500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7343,9523

GCF of Fractions 7343/713,9523/5500 is 1/3921500

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

Greatest Common Factor of 7343,9523 By Matching Biggest Common Factor Method

Greatest Common Factor of 7343,9523 By Matching Biggest Common Factor Method

Factors of 7343

List of positive integer factors of 7343 that divides 7343 without a remainder.

1,7,1049,7343

Factors of 9523

List of positive integer factors of 9523 that divides 9523 without a remainder.

1,89,107,9523

Greatest Common Factor

We found the factors 7343,9523 . The biggest common factor number is the GCF number.
So the greatest common factor 7343,9523 is 1.

Lets's calculate LCM of 713,5500

Given numbers has no common factors except 1. So, there LCM is their product i.e 3921500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3921500

Therefore, the GCF of Fractions 7343/713,9523/5500 is 1/3921500

Least Common Multiple of 713,5500 with GCF Formula

Least Common Multiple of 713,5500 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 713,5500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(713,5500) = 1

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

GCF(713,5500) x common factors =1 x 1 = 1

LCM(713,5500) = ( 713 × 5500 ) / 1

LCM(713,5500) = 3921500 / 1

LCM(713,5500) = 3921500


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 7343/713, 9523/5500

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 7343/713, 9523/5500?

Answer: GCF of Numerators as per given numbers 7343/713, 9523/5500 is

GCF of Numerators i.e. for 7343,9523 is 1

LCM of denominators i.e. for 713,5500 is 3921500.

Thus, GCF of Fractions is 1/3921500.Finally, GCF of Fractions for 7343/713, 9523/5500 is 1/3921500.