Greatest Common Factor of 344/181, 498/335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 344/181, 498/335

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 344/181,498/335

Given fractions are 344/181,498/335

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 344,498

Greatest Common Factor of Numerators i.e. GCF of 344,498 is 2 .

LCM of Denominators means LCM of 181,335 as per the given fractions.

LCM of 181,335 is 60635 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 344,498

GCF of Fractions 344/181,498/335 is 2/60635

2 344, 498
172, 249

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

Greatest Common Factor of 344,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,498 By Matching Biggest Common Factor Method

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 344,498 . The biggest common factor number is the GCF number.
So the greatest common factor 344,498 is 2.

Lets's calculate LCM of 181,335

Given numbers has no common factors except 1. So, there LCM is their product i.e 60635

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/60635

Therefore, the GCF of Fractions 344/181,498/335 is 2/60635

Least Common Multiple of 181,335 with GCF Formula

Least Common Multiple of 181,335 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 181,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(181,335) = 1

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

GCF(181,335) x common factors =1 x 1 = 1

LCM(181,335) = ( 181 × 335 ) / 1

LCM(181,335) = 60635 / 1

LCM(181,335) = 60635


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 344/181, 498/335

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 344/181, 498/335?

Answer: GCF of Numerators as per given numbers 344/181, 498/335 is

GCF of Numerators i.e. for 344,498 is 2

LCM of denominators i.e. for 181,335 is 60635.

Thus, GCF of Fractions is 2/60635.Finally, GCF of Fractions for 344/181, 498/335 is 2/60635.