Greatest Common Factor of 7249/43, 5499/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7249/43, 5499/768

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 7249/43,5499/768

Given fractions are 7249/43,5499/768

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 7249,5499

Greatest Common Factor of Numerators i.e. GCF of 7249,5499 is 1 .

LCM of Denominators means LCM of 43,768 as per the given fractions.

LCM of 43,768 is 33024 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7249,5499

GCF of Fractions 7249/43,5499/768 is 1/33024

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

Greatest Common Factor of 7249,5499 By Matching Biggest Common Factor Method

Greatest Common Factor of 7249,5499 By Matching Biggest Common Factor Method

Factors of 7249

List of positive integer factors of 7249 that divides 7249 without a remainder.

1,11,659,7249

Factors of 5499

List of positive integer factors of 5499 that divides 5499 without a remainder.

1,3,9,13,39,47,117,141,423,611,1833,5499

Greatest Common Factor

We found the factors 7249,5499 . The biggest common factor number is the GCF number.
So the greatest common factor 7249,5499 is 1.

Lets's calculate LCM of 43,768

Given numbers has no common factors except 1. So, there LCM is their product i.e 33024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33024

Therefore, the GCF of Fractions 7249/43,5499/768 is 1/33024

Least Common Multiple of 43,768 with GCF Formula

Least Common Multiple of 43,768 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 43,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,768) = 1

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

GCF(43,768) x common factors =1 x 1 = 1

LCM(43,768) = ( 43 × 768 ) / 1

LCM(43,768) = 33024 / 1

LCM(43,768) = 33024


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 7249/43, 5499/768

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 7249/43, 5499/768?

Answer: GCF of Numerators as per given numbers 7249/43, 5499/768 is

GCF of Numerators i.e. for 7249,5499 is 1

LCM of denominators i.e. for 43,768 is 33024.

Thus, GCF of Fractions is 1/33024.Finally, GCF of Fractions for 7249/43, 5499/768 is 1/33024.