Greatest Common Factor of 383/720, 9226/7632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 383/720, 9226/7632

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 383/720,9226/7632

Given fractions are 383/720,9226/7632

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 383,9226

Greatest Common Factor of Numerators i.e. GCF of 383,9226 is 1 .

LCM of Denominators means LCM of 720,7632 as per the given fractions.

LCM of 720,7632 is 38160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 383,9226

GCF of Fractions 383/720,9226/7632 is 1/38160

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

Greatest Common Factor of 383,9226 By Matching Biggest Common Factor Method

Greatest Common Factor of 383,9226 By Matching Biggest Common Factor Method

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Factors of 9226

List of positive integer factors of 9226 that divides 9226 without a remainder.

1,2,7,14,659,1318,4613,9226

Greatest Common Factor

We found the factors 383,9226 . The biggest common factor number is the GCF number.
So the greatest common factor 383,9226 is 1.

Lets's calculate LCM of 720,7632

2 720, 7632
2 360, 3816
2 180, 1908
2 90, 954
3 45, 477
3 15, 159
5, 53

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 5 x 53 = 38160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38160

Therefore, the GCF of Fractions 383/720,9226/7632 is 1/38160

Least Common Multiple of 720,7632 with GCF Formula

Least Common Multiple of 720,7632 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 720,7632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,7632) = 144

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

GCF(720,7632) x common factors =144 x 1 = 144

LCM(720,7632) = ( 720 × 7632 ) / 144

LCM(720,7632) = 5495040 / 144

LCM(720,7632) = 38160


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 383/720, 9226/7632

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 383/720, 9226/7632?

Answer: GCF of Numerators as per given numbers 383/720, 9226/7632 is

GCF of Numerators i.e. for 383,9226 is 1

LCM of denominators i.e. for 720,7632 is 38160.

Thus, GCF of Fractions is 1/38160.Finally, GCF of Fractions for 383/720, 9226/7632 is 1/38160.