Greatest Common Factor of 9382/884, 3008/4725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 9382/884, 3008/4725

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 9382/884,3008/4725

Given fractions are 9382/884,3008/4725

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 9382,3008

Greatest Common Factor of Numerators i.e. GCF of 9382,3008 is 2 .

LCM of Denominators means LCM of 884,4725 as per the given fractions.

LCM of 884,4725 is 4176900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9382,3008

GCF of Fractions 9382/884,3008/4725 is 2/4176900

2 9382, 3008
4691, 1504

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9382,3008 By Matching Biggest Common Factor Method

Greatest Common Factor of 9382,3008 By Matching Biggest Common Factor Method

Factors of 9382

List of positive integer factors of 9382 that divides 9382 without a remainder.

1,2,4691,9382

Factors of 3008

List of positive integer factors of 3008 that divides 3008 without a remainder.

1,2,4,8,16,32,47,64,94,188,376,752,1504,3008

Greatest Common Factor

We found the factors 9382,3008 . The biggest common factor number is the GCF number.
So the greatest common factor 9382,3008 is 2.


Lets's calculate LCM of 884,4725

Given numbers has no common factors except 1. So, there LCM is their product i.e 4176900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4176900

Therefore, the GCF of Fractions 9382/884,3008/4725 is 2/4176900

Least Common Multiple of 884,4725 with GCF Formula

Least Common Multiple of 884,4725 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 884,4725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(884,4725) = 1

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

GCF(884,4725) x common factors =1 x 1 = 1

LCM(884,4725) = ( 884 × 4725 ) / 1

LCM(884,4725) = 4176900 / 1

LCM(884,4725) = 4176900


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 9382/884, 3008/4725

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 9382/884, 3008/4725?

Answer: GCF of Numerators as per given numbers 9382/884, 3008/4725 is

GCF of Numerators i.e. for 9382,3008 is 2

LCM of denominators i.e. for 884,4725 is 4176900.

Thus, GCF of Fractions is 2/4176900.Finally, GCF of Fractions for 9382/884, 3008/4725 is 2/4176900.