Greatest Common Factor of 182/96, 9303/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 182/96, 9303/175

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 182/96,9303/175

Given fractions are 182/96,9303/175

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 182,9303

Greatest Common Factor of Numerators i.e. GCF of 182,9303 is 7 .

LCM of Denominators means LCM of 96,175 as per the given fractions.

LCM of 96,175 is 16800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 182,9303

GCF of Fractions 182/96,9303/175 is 7/16800

7 182, 9303
26, 1329

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 182,9303 By Matching Biggest Common Factor Method

Greatest Common Factor of 182,9303 By Matching Biggest Common Factor Method

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 9303

List of positive integer factors of 9303 that divides 9303 without a remainder.

1,3,7,21,443,1329,3101,9303

Greatest Common Factor

We found the factors 182,9303 . The biggest common factor number is the GCF number.
So the greatest common factor 182,9303 is 7.


Lets's calculate LCM of 96,175

Given numbers has no common factors except 1. So, there LCM is their product i.e 16800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/16800

Therefore, the GCF of Fractions 182/96,9303/175 is 7/16800

Least Common Multiple of 96,175 with GCF Formula

Least Common Multiple of 96,175 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 96,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,175) = 1

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

GCF(96,175) x common factors =1 x 1 = 1

LCM(96,175) = ( 96 × 175 ) / 1

LCM(96,175) = 16800 / 1

LCM(96,175) = 16800


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 182/96, 9303/175

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 182/96, 9303/175?

Answer: GCF of Numerators as per given numbers 182/96, 9303/175 is

GCF of Numerators i.e. for 182,9303 is 7

LCM of denominators i.e. for 96,175 is 16800.

Thus, GCF of Fractions is 7/16800.Finally, GCF of Fractions for 182/96, 9303/175 is 7/16800.