Greatest Common Factor of 83/46, 79/81, 19/46, 281/13

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/46, 79/81, 19/46, 281/13

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 83/46,79/81,19/46,281/13

Given fractions are 83/46,79/81,19/46,281/13

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 83,79,19,281

Greatest Common Factor of Numerators i.e. GCF of 83,79,19,281 is 1 .

LCM of Denominators means LCM of 46,81,46,13 as per the given fractions.

LCM of 46,81,46,13 is 48438 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,79,19,281

GCF of Fractions 83/46,79/81,19/46,281/13 is 1/48438

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

Greatest Common Factor of 83,79,19,281 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,79,19,281 By Matching Biggest Common Factor Method

Factors of 83

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

1,83

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Greatest Common Factor

We found the factors 83,79,19,281 . The biggest common factor number is the GCF number.
So the greatest common factor 83,79,19,281 is 1.

Lets's calculate LCM of 46,81,46,13

2 46, 81, 46, 13
23 23, 81, 23, 13
1, 81, 1, 13

∴ So the LCM of the given numbers is 2 x 23 x 1 x 81 x 1 x 13 = 48438

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48438

Therefore, the GCF of Fractions 83/46,79/81,19/46,281/13 is 1/48438

Least Common Multiple of 46,81,46,13 with GCF Formula

Least Common Multiple of 46,81,46,13 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 46,81,46,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,81,46,13) = 1

common factors(in case of two or more numbers have common factors) = 46

GCF(46,81,46,13) x common factors =1 x 46 = 46

LCM(46,81,46,13) = ( 46 × 81 × 46 × 13 ) / 46

LCM(46,81,46,13) = 2228148 / 46

LCM(46,81,46,13) = 48438


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 83/46, 79/81, 19/46, 281/13

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 83/46, 79/81, 19/46, 281/13?

Answer: GCF of Numerators as per given numbers 83/46, 79/81, 19/46, 281/13 is

GCF of Numerators i.e. for 83,79,19,281 is 1

LCM of denominators i.e. for 46,81,46,13 is 48438.

Thus, GCF of Fractions is 1/48438.Finally, GCF of Fractions for 83/46, 79/81, 19/46, 281/13 is 1/48438.