Greatest Common Factor of 5/46, 57/83, 71/274, 298/155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/46, 57/83, 71/274, 298/155

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 5/46,57/83,71/274,298/155

Given fractions are 5/46,57/83,71/274,298/155

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 5,57,71,298

Greatest Common Factor of Numerators i.e. GCF of 5,57,71,298 is 1 .

LCM of Denominators means LCM of 46,83,274,155 as per the given fractions.

LCM of 46,83,274,155 is 81075230 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,57,71,298

GCF of Fractions 5/46,57/83,71/274,298/155 is 1/81075230

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

Greatest Common Factor of 5,57,71,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,57,71,298 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 5,57,71,298 . The biggest common factor number is the GCF number.
So the greatest common factor 5,57,71,298 is 1.

Lets's calculate LCM of 46,83,274,155

2 46, 83, 274, 155
23, 83, 137, 155

∴ So the LCM of the given numbers is 2 x 23 x 83 x 137 x 155 = 81075230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81075230

Therefore, the GCF of Fractions 5/46,57/83,71/274,298/155 is 1/81075230

Least Common Multiple of 46,83,274,155 with GCF Formula

Least Common Multiple of 46,83,274,155 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 46,83,274,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,83,274,155) = 1

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

GCF(46,83,274,155) x common factors =1 x 2 = 2

LCM(46,83,274,155) = ( 46 × 83 × 274 × 155 ) / 2

LCM(46,83,274,155) = 162150460 / 2

LCM(46,83,274,155) = 81075230


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 5/46, 57/83, 71/274, 298/155

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 5/46, 57/83, 71/274, 298/155?

Answer: GCF of Numerators as per given numbers 5/46, 57/83, 71/274, 298/155 is

GCF of Numerators i.e. for 5,57,71,298 is 1

LCM of denominators i.e. for 46,83,274,155 is 81075230.

Thus, GCF of Fractions is 1/81075230.Finally, GCF of Fractions for 5/46, 57/83, 71/274, 298/155 is 1/81075230.