Greatest Common Factor of 843/123, 7175/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 843/123, 7175/144

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 843/123,7175/144

Given fractions are 843/123,7175/144

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 843,7175

Greatest Common Factor of Numerators i.e. GCF of 843,7175 is 1 .

LCM of Denominators means LCM of 123,144 as per the given fractions.

LCM of 123,144 is 5904 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 843,7175

GCF of Fractions 843/123,7175/144 is 1/5904

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

Greatest Common Factor of 843,7175 By Matching Biggest Common Factor Method

Greatest Common Factor of 843,7175 By Matching Biggest Common Factor Method

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Factors of 7175

List of positive integer factors of 7175 that divides 7175 without a remainder.

1,5,7,25,35,41,175,205,287,1025,1435,7175

Greatest Common Factor

We found the factors 843,7175 . The biggest common factor number is the GCF number.
So the greatest common factor 843,7175 is 1.

Lets's calculate LCM of 123,144

3 123, 144
41, 48

∴ So the LCM of the given numbers is 3 x 41 x 48 = 5904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5904

Therefore, the GCF of Fractions 843/123,7175/144 is 1/5904

Least Common Multiple of 123,144 with GCF Formula

Least Common Multiple of 123,144 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 123,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,144) = 3

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

GCF(123,144) x common factors =3 x 1 = 3

LCM(123,144) = ( 123 × 144 ) / 3

LCM(123,144) = 17712 / 3

LCM(123,144) = 5904


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 843/123, 7175/144

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 843/123, 7175/144?

Answer: GCF of Numerators as per given numbers 843/123, 7175/144 is

GCF of Numerators i.e. for 843,7175 is 1

LCM of denominators i.e. for 123,144 is 5904.

Thus, GCF of Fractions is 1/5904.Finally, GCF of Fractions for 843/123, 7175/144 is 1/5904.