Greatest Common Factor of 245/29, 403/30, 185/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 245/29, 403/30, 185/298

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 245/29,403/30,185/298

Given fractions are 245/29,403/30,185/298

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 245,403,185

Greatest Common Factor of Numerators i.e. GCF of 245,403,185 is 1 .

LCM of Denominators means LCM of 29,30,298 as per the given fractions.

LCM of 29,30,298 is 129630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 245,403,185

GCF of Fractions 245/29,403/30,185/298 is 1/129630

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

Greatest Common Factor of 245,403,185 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,403,185 By Matching Biggest Common Factor Method

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Greatest Common Factor

We found the factors 245,403,185 . The biggest common factor number is the GCF number.
So the greatest common factor 245,403,185 is 1.

Lets's calculate LCM of 29,30,298

2 29, 30, 298
29, 15, 149

∴ So the LCM of the given numbers is 2 x 29 x 15 x 149 = 129630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129630

Therefore, the GCF of Fractions 245/29,403/30,185/298 is 1/129630

Least Common Multiple of 29,30,298 with GCF Formula

Least Common Multiple of 29,30,298 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 29,30,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,30,298) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(29,30,298) x common factors =1 x 2 = 2

LCM(29,30,298) = ( 29 × 30 × 298 ) / 2

LCM(29,30,298) = 259260 / 2

LCM(29,30,298) = 129630


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 245/29, 403/30, 185/298

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 245/29, 403/30, 185/298?

Answer: GCF of Numerators as per given numbers 245/29, 403/30, 185/298 is

GCF of Numerators i.e. for 245,403,185 is 1

LCM of denominators i.e. for 29,30,298 is 129630.

Thus, GCF of Fractions is 1/129630.Finally, GCF of Fractions for 245/29, 403/30, 185/298 is 1/129630.