Greatest Common Factor of 7251/489, 4032/797

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7251/489, 4032/797

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 7251/489,4032/797

Given fractions are 7251/489,4032/797

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 7251,4032

Greatest Common Factor of Numerators i.e. GCF of 7251,4032 is 3 .

LCM of Denominators means LCM of 489,797 as per the given fractions.

LCM of 489,797 is 389733 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7251,4032

GCF of Fractions 7251/489,4032/797 is 3/389733

3 7251, 4032
2417, 1344

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7251,4032 By Matching Biggest Common Factor Method

Greatest Common Factor of 7251,4032 By Matching Biggest Common Factor Method

Factors of 7251

List of positive integer factors of 7251 that divides 7251 without a remainder.

1,3,2417,7251

Factors of 4032

List of positive integer factors of 4032 that divides 4032 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,64,72,84,96,112,126,144,168,192,224,252,288,336,448,504,576,672,1008,1344,2016,4032

Greatest Common Factor

We found the factors 7251,4032 . The biggest common factor number is the GCF number.
So the greatest common factor 7251,4032 is 3.

Lets's calculate LCM of 489,797

Given numbers has no common factors except 1. So, there LCM is their product i.e 389733

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/389733

Therefore, the GCF of Fractions 7251/489,4032/797 is 3/389733

Least Common Multiple of 489,797 with GCF Formula

Least Common Multiple of 489,797 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 489,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,797) = 1

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

GCF(489,797) x common factors =1 x 1 = 1

LCM(489,797) = ( 489 × 797 ) / 1

LCM(489,797) = 389733 / 1

LCM(489,797) = 389733


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 7251/489, 4032/797

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 7251/489, 4032/797?

Answer: GCF of Numerators as per given numbers 7251/489, 4032/797 is

GCF of Numerators i.e. for 7251,4032 is 3

LCM of denominators i.e. for 489,797 is 389733.

Thus, GCF of Fractions is 3/389733.Finally, GCF of Fractions for 7251/489, 4032/797 is 3/389733.