Greatest Common Factor of 484/9753, 792/1754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 484/9753, 792/1754

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 484/9753,792/1754

Given fractions are 484/9753,792/1754

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 484,792

Greatest Common Factor of Numerators i.e. GCF of 484,792 is 44 .

LCM of Denominators means LCM of 9753,1754 as per the given fractions.

LCM of 9753,1754 is 17106762 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 484,792

GCF of Fractions 484/9753,792/1754 is 44/17106762

2 484, 792
2 242, 396
11 121, 198
11, 18

∴ So the GCF of the given numbers is 2 x 2 x 11 = 44

Greatest Common Factor of 484,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,792 By Matching Biggest Common Factor Method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 484,792 . The biggest common factor number is the GCF number.
So the greatest common factor 484,792 is 44.

Lets's calculate LCM of 9753,1754

Given numbers has no common factors except 1. So, there LCM is their product i.e 17106762

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 44/17106762

Therefore, the GCF of Fractions 484/9753,792/1754 is 44/17106762

Least Common Multiple of 9753,1754 with GCF Formula

Least Common Multiple of 9753,1754 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 9753,1754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9753,1754) = 1

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

GCF(9753,1754) x common factors =1 x 1 = 1

LCM(9753,1754) = ( 9753 × 1754 ) / 1

LCM(9753,1754) = 17106762 / 1

LCM(9753,1754) = 17106762


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 484/9753, 792/1754

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 484/9753, 792/1754?

Answer: GCF of Numerators as per given numbers 484/9753, 792/1754 is

GCF of Numerators i.e. for 484,792 is 44

LCM of denominators i.e. for 9753,1754 is 17106762.

Thus, GCF of Fractions is 44/17106762.Finally, GCF of Fractions for 484/9753, 792/1754 is 44/17106762.