Greatest Common Factor of 7543/948, 3548/1329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7543/948, 3548/1329

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 7543/948,3548/1329

Given fractions are 7543/948,3548/1329

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 7543,3548

Greatest Common Factor of Numerators i.e. GCF of 7543,3548 is 1 .

LCM of Denominators means LCM of 948,1329 as per the given fractions.

LCM of 948,1329 is 419964 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7543,3548

GCF of Fractions 7543/948,3548/1329 is 1/419964

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

Greatest Common Factor of 7543,3548 By Matching Biggest Common Factor Method

Greatest Common Factor of 7543,3548 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 3548

List of positive integer factors of 3548 that divides 3548 without a remainder.

1,2,4,887,1774,3548

Greatest Common Factor

We found the factors 7543,3548 . The biggest common factor number is the GCF number.
So the greatest common factor 7543,3548 is 1.

Lets's calculate LCM of 948,1329

3 948, 1329
316, 443

∴ So the LCM of the given numbers is 3 x 316 x 443 = 419964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/419964

Therefore, the GCF of Fractions 7543/948,3548/1329 is 1/419964

Least Common Multiple of 948,1329 with GCF Formula

Least Common Multiple of 948,1329 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 948,1329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(948,1329) = 3

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

GCF(948,1329) x common factors =3 x 1 = 3

LCM(948,1329) = ( 948 × 1329 ) / 3

LCM(948,1329) = 1259892 / 3

LCM(948,1329) = 419964


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 7543/948, 3548/1329

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 7543/948, 3548/1329?

Answer: GCF of Numerators as per given numbers 7543/948, 3548/1329 is

GCF of Numerators i.e. for 7543,3548 is 1

LCM of denominators i.e. for 948,1329 is 419964.

Thus, GCF of Fractions is 1/419964.Finally, GCF of Fractions for 7543/948, 3548/1329 is 1/419964.