Greatest Common Factor of 7343/28, 5132/719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7343/28, 5132/719

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 7343/28,5132/719

Given fractions are 7343/28,5132/719

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 7343,5132

Greatest Common Factor of Numerators i.e. GCF of 7343,5132 is 1 .

LCM of Denominators means LCM of 28,719 as per the given fractions.

LCM of 28,719 is 20132 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7343,5132

GCF of Fractions 7343/28,5132/719 is 1/20132

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

Greatest Common Factor of 7343,5132 By Matching Biggest Common Factor Method

Greatest Common Factor of 7343,5132 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 5132

List of positive integer factors of 5132 that divides 5132 without a remainder.

1,2,4,1283,2566,5132

Greatest Common Factor

We found the factors 7343,5132 . The biggest common factor number is the GCF number.
So the greatest common factor 7343,5132 is 1.

Lets's calculate LCM of 28,719

Given numbers has no common factors except 1. So, there LCM is their product i.e 20132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20132

Therefore, the GCF of Fractions 7343/28,5132/719 is 1/20132

Least Common Multiple of 28,719 with GCF Formula

Least Common Multiple of 28,719 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 28,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,719) = 1

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

GCF(28,719) x common factors =1 x 1 = 1

LCM(28,719) = ( 28 × 719 ) / 1

LCM(28,719) = 20132 / 1

LCM(28,719) = 20132


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 7343/28, 5132/719

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 7343/28, 5132/719?

Answer: GCF of Numerators as per given numbers 7343/28, 5132/719 is

GCF of Numerators i.e. for 7343,5132 is 1

LCM of denominators i.e. for 28,719 is 20132.

Thus, GCF of Fractions is 1/20132.Finally, GCF of Fractions for 7343/28, 5132/719 is 1/20132.