Greatest Common Factor of 28/98, 35/57, 42/18, 245/81

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/98, 35/57, 42/18, 245/81

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 28/98,35/57,42/18,245/81

Given fractions are 28/98,35/57,42/18,245/81

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 28,35,42,245

Greatest Common Factor of Numerators i.e. GCF of 28,35,42,245 is 7 .

LCM of Denominators means LCM of 98,57,18,81 as per the given fractions.

LCM of 98,57,18,81 is 150822 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,35,42,245

GCF of Fractions 28/98,35/57,42/18,245/81 is 7/150822

7 28, 35, 42, 245
4, 5, 6, 35

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 28,35,42,245 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,35,42,245 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 245

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

1,5,7,35,49,245

Greatest Common Factor

We found the factors 28,35,42,245 . The biggest common factor number is the GCF number.
So the greatest common factor 28,35,42,245 is 7.

Lets's calculate LCM of 98,57,18,81

2 98, 57, 18, 81
3 49, 57, 9, 81
3 49, 19, 3, 27
49, 19, 1, 9

∴ So the LCM of the given numbers is 2 x 3 x 3 x 49 x 19 x 1 x 9 = 150822

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/150822

Therefore, the GCF of Fractions 28/98,35/57,42/18,245/81 is 7/150822

Least Common Multiple of 98,57,18,81 with GCF Formula

Least Common Multiple of 98,57,18,81 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 98,57,18,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,57,18,81) = 1

common factors(in case of two or more numbers have common factors) = 54

GCF(98,57,18,81) x common factors =1 x 54 = 54

LCM(98,57,18,81) = ( 98 × 57 × 18 × 81 ) / 54

LCM(98,57,18,81) = 8144388 / 54

LCM(98,57,18,81) = 150822


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 28/98, 35/57, 42/18, 245/81

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 28/98, 35/57, 42/18, 245/81?

Answer: GCF of Numerators as per given numbers 28/98, 35/57, 42/18, 245/81 is

GCF of Numerators i.e. for 28,35,42,245 is 7

LCM of denominators i.e. for 98,57,18,81 is 150822.

Thus, GCF of Fractions is 7/150822.Finally, GCF of Fractions for 28/98, 35/57, 42/18, 245/81 is 7/150822.