Greatest Common Factor of 28/34, 83/69, 98/41, 58/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/34, 83/69, 98/41, 58/838

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 28/34,83/69,98/41,58/838

Given fractions are 28/34,83/69,98/41,58/838

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 28,83,98,58

Greatest Common Factor of Numerators i.e. GCF of 28,83,98,58 is 1 .

LCM of Denominators means LCM of 34,69,41,838 as per the given fractions.

LCM of 34,69,41,838 is 40301934 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,83,98,58

GCF of Fractions 28/34,83/69,98/41,58/838 is 1/40301934

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

Greatest Common Factor of 28,83,98,58 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,83,98,58 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 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Greatest Common Factor

We found the factors 28,83,98,58 . The biggest common factor number is the GCF number.
So the greatest common factor 28,83,98,58 is 1.

Lets's calculate LCM of 34,69,41,838

2 34, 69, 41, 838
17, 69, 41, 419

∴ So the LCM of the given numbers is 2 x 17 x 69 x 41 x 419 = 40301934

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40301934

Therefore, the GCF of Fractions 28/34,83/69,98/41,58/838 is 1/40301934

Least Common Multiple of 34,69,41,838 with GCF Formula

Least Common Multiple of 34,69,41,838 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 34,69,41,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,69,41,838) = 1

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

GCF(34,69,41,838) x common factors =1 x 2 = 2

LCM(34,69,41,838) = ( 34 × 69 × 41 × 838 ) / 2

LCM(34,69,41,838) = 80603868 / 2

LCM(34,69,41,838) = 40301934


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 28/34, 83/69, 98/41, 58/838

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 28/34, 83/69, 98/41, 58/838?

Answer: GCF of Numerators as per given numbers 28/34, 83/69, 98/41, 58/838 is

GCF of Numerators i.e. for 28,83,98,58 is 1

LCM of denominators i.e. for 34,69,41,838 is 40301934.

Thus, GCF of Fractions is 1/40301934.Finally, GCF of Fractions for 28/34, 83/69, 98/41, 58/838 is 1/40301934.