Greatest Common Factor of 424/33, 245/71, 260/845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 424/33, 245/71, 260/845

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 424/33,245/71,260/845

Given fractions are 424/33,245/71,260/845

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 424,245,260

Greatest Common Factor of Numerators i.e. GCF of 424,245,260 is 1 .

LCM of Denominators means LCM of 33,71,845 as per the given fractions.

LCM of 33,71,845 is 1979835 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 424,245,260

GCF of Fractions 424/33,245/71,260/845 is 1/1979835

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

Greatest Common Factor of 424,245,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,245,260 By Matching Biggest Common Factor Method

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 245

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

1,5,7,35,49,245

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 424,245,260 . The biggest common factor number is the GCF number.
So the greatest common factor 424,245,260 is 1.


Lets's calculate LCM of 33,71,845

Given numbers has no common factors except 1. So, there LCM is their product i.e 1979835

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1979835

Therefore, the GCF of Fractions 424/33,245/71,260/845 is 1/1979835

Least Common Multiple of 33,71,845 with GCF Formula

Least Common Multiple of 33,71,845 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 33,71,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,71,845) = 1

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

GCF(33,71,845) x common factors =1 x 1 = 1

LCM(33,71,845) = ( 33 × 71 × 845 ) / 1

LCM(33,71,845) = 1979835 / 1

LCM(33,71,845) = 1979835


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 424/33, 245/71, 260/845

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 424/33, 245/71, 260/845?

Answer: GCF of Numerators as per given numbers 424/33, 245/71, 260/845 is

GCF of Numerators i.e. for 424,245,260 is 1

LCM of denominators i.e. for 33,71,845 is 1979835.

Thus, GCF of Fractions is 1/1979835.Finally, GCF of Fractions for 424/33, 245/71, 260/845 is 1/1979835.