Greatest Common Factor of 242/8375, 286/1843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 242/8375, 286/1843

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 242/8375,286/1843

Given fractions are 242/8375,286/1843

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 242,286

Greatest Common Factor of Numerators i.e. GCF of 242,286 is 22 .

LCM of Denominators means LCM of 8375,1843 as per the given fractions.

LCM of 8375,1843 is 15435125 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 242,286

GCF of Fractions 242/8375,286/1843 is 22/15435125

2 242, 286
11 121, 143
11, 13

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 242,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 242,286 By Matching Biggest Common Factor Method

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 242,286 . The biggest common factor number is the GCF number.
So the greatest common factor 242,286 is 22.

Lets's calculate LCM of 8375,1843

Given numbers has no common factors except 1. So, there LCM is their product i.e 15435125

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/15435125

Therefore, the GCF of Fractions 242/8375,286/1843 is 22/15435125

Least Common Multiple of 8375,1843 with GCF Formula

Least Common Multiple of 8375,1843 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 8375,1843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8375,1843) = 1

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

GCF(8375,1843) x common factors =1 x 1 = 1

LCM(8375,1843) = ( 8375 × 1843 ) / 1

LCM(8375,1843) = 15435125 / 1

LCM(8375,1843) = 15435125


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 242/8375, 286/1843

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 242/8375, 286/1843?

Answer: GCF of Numerators as per given numbers 242/8375, 286/1843 is

GCF of Numerators i.e. for 242,286 is 22

LCM of denominators i.e. for 8375,1843 is 15435125.

Thus, GCF of Fractions is 22/15435125.Finally, GCF of Fractions for 242/8375, 286/1843 is 22/15435125.