Greatest Common Factor of 94/353, 242/373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 94/353, 242/373

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 94/353,242/373

Given fractions are 94/353,242/373

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 94,242

Greatest Common Factor of Numerators i.e. GCF of 94,242 is 2 .

LCM of Denominators means LCM of 353,373 as per the given fractions.

LCM of 353,373 is 131669 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 94,242

GCF of Fractions 94/353,242/373 is 2/131669

2 94, 242
47, 121

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

Greatest Common Factor of 94,242 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,242 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 242

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

1,2,11,22,121,242

Greatest Common Factor

We found the factors 94,242 . The biggest common factor number is the GCF number.
So the greatest common factor 94,242 is 2.

Lets's calculate LCM of 353,373

Given numbers has no common factors except 1. So, there LCM is their product i.e 131669

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/131669

Therefore, the GCF of Fractions 94/353,242/373 is 2/131669

Least Common Multiple of 353,373 with GCF Formula

Least Common Multiple of 353,373 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 353,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(353,373) = 1

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

GCF(353,373) x common factors =1 x 1 = 1

LCM(353,373) = ( 353 × 373 ) / 1

LCM(353,373) = 131669 / 1

LCM(353,373) = 131669


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 94/353, 242/373

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 94/353, 242/373?

Answer: GCF of Numerators as per given numbers 94/353, 242/373 is

GCF of Numerators i.e. for 94,242 is 2

LCM of denominators i.e. for 353,373 is 131669.

Thus, GCF of Fractions is 2/131669.Finally, GCF of Fractions for 94/353, 242/373 is 2/131669.