Greatest Common Factor of 7543/11, 5458/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7543/11, 5458/508

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 7543/11,5458/508

Given fractions are 7543/11,5458/508

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 7543,5458

Greatest Common Factor of Numerators i.e. GCF of 7543,5458 is 1 .

LCM of Denominators means LCM of 11,508 as per the given fractions.

LCM of 11,508 is 5588 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7543,5458

GCF of Fractions 7543/11,5458/508 is 1/5588

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

Greatest Common Factor of 7543,5458 By Matching Biggest Common Factor Method

Greatest Common Factor of 7543,5458 By Matching Biggest Common Factor Method

Factors of 7543

List of positive integer factors of 7543 that divides 7543 without a remainder.

1,19,397,7543

Factors of 5458

List of positive integer factors of 5458 that divides 5458 without a remainder.

1,2,2729,5458

Greatest Common Factor

We found the factors 7543,5458 . The biggest common factor number is the GCF number.
So the greatest common factor 7543,5458 is 1.

Lets's calculate LCM of 11,508

Given numbers has no common factors except 1. So, there LCM is their product i.e 5588

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5588

Therefore, the GCF of Fractions 7543/11,5458/508 is 1/5588

Least Common Multiple of 11,508 with GCF Formula

Least Common Multiple of 11,508 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 11,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,508) = 1

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

GCF(11,508) x common factors =1 x 1 = 1

LCM(11,508) = ( 11 × 508 ) / 1

LCM(11,508) = 5588 / 1

LCM(11,508) = 5588


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 7543/11, 5458/508

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 7543/11, 5458/508?

Answer: GCF of Numerators as per given numbers 7543/11, 5458/508 is

GCF of Numerators i.e. for 7543,5458 is 1

LCM of denominators i.e. for 11,508 is 5588.

Thus, GCF of Fractions is 1/5588.Finally, GCF of Fractions for 7543/11, 5458/508 is 1/5588.