Greatest Common Factor of 54/494, 15/774, 846/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 54/494, 15/774, 846/245

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 54/494,15/774,846/245

Given fractions are 54/494,15/774,846/245

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 54,15,846

Greatest Common Factor of Numerators i.e. GCF of 54,15,846 is 3 .

LCM of Denominators means LCM of 494,774,245 as per the given fractions.

LCM of 494,774,245 is 46838610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 54,15,846

GCF of Fractions 54/494,15/774,846/245 is 3/46838610

3 54, 15, 846
18, 5, 282

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 54,15,846 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,15,846 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Greatest Common Factor

We found the factors 54,15,846 . The biggest common factor number is the GCF number.
So the greatest common factor 54,15,846 is 3.


Lets's calculate LCM of 494,774,245

2 494, 774, 245
247, 387, 245

∴ So the LCM of the given numbers is 2 x 247 x 387 x 245 = 46838610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/46838610

Therefore, the GCF of Fractions 54/494,15/774,846/245 is 3/46838610

Least Common Multiple of 494,774,245 with GCF Formula

Least Common Multiple of 494,774,245 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 494,774,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,774,245) = 1

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

GCF(494,774,245) x common factors =1 x 2 = 2

LCM(494,774,245) = ( 494 × 774 × 245 ) / 2

LCM(494,774,245) = 93677220 / 2

LCM(494,774,245) = 46838610


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 54/494, 15/774, 846/245

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 54/494, 15/774, 846/245?

Answer: GCF of Numerators as per given numbers 54/494, 15/774, 846/245 is

GCF of Numerators i.e. for 54,15,846 is 3

LCM of denominators i.e. for 494,774,245 is 46838610.

Thus, GCF of Fractions is 3/46838610.Finally, GCF of Fractions for 54/494, 15/774, 846/245 is 3/46838610.