Greatest Common Factor of 246/65, 728/11, 294/90

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 246/65, 728/11, 294/90

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 246/65,728/11,294/90

Given fractions are 246/65,728/11,294/90

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 246,728,294

Greatest Common Factor of Numerators i.e. GCF of 246,728,294 is 2 .

LCM of Denominators means LCM of 65,11,90 as per the given fractions.

LCM of 65,11,90 is 12870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 246,728,294

GCF of Fractions 246/65,728/11,294/90 is 2/12870

2 246, 728, 294
123, 364, 147

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

Greatest Common Factor of 246,728,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 246,728,294 By Matching Biggest Common Factor Method

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 246,728,294 . The biggest common factor number is the GCF number.
So the greatest common factor 246,728,294 is 2.

Lets's calculate LCM of 65,11,90

5 65, 11, 90
13, 11, 18

∴ So the LCM of the given numbers is 5 x 13 x 11 x 18 = 12870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12870

Therefore, the GCF of Fractions 246/65,728/11,294/90 is 2/12870

Least Common Multiple of 65,11,90 with GCF Formula

Least Common Multiple of 65,11,90 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 65,11,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,11,90) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(65,11,90) x common factors =1 x 5 = 5

LCM(65,11,90) = ( 65 × 11 × 90 ) / 5

LCM(65,11,90) = 64350 / 5

LCM(65,11,90) = 12870


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 246/65, 728/11, 294/90

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 246/65, 728/11, 294/90?

Answer: GCF of Numerators as per given numbers 246/65, 728/11, 294/90 is

GCF of Numerators i.e. for 246,728,294 is 2

LCM of denominators i.e. for 65,11,90 is 12870.

Thus, GCF of Fractions is 2/12870.Finally, GCF of Fractions for 246/65, 728/11, 294/90 is 2/12870.