Greatest Common Factor of 81/319, 47/949, 499/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 81/319, 47/949, 499/306

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 81/319,47/949,499/306

Given fractions are 81/319,47/949,499/306

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 81,47,499

Greatest Common Factor of Numerators i.e. GCF of 81,47,499 is 1 .

LCM of Denominators means LCM of 319,949,306 as per the given fractions.

LCM of 319,949,306 is 92635686 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 81,47,499

GCF of Fractions 81/319,47/949,499/306 is 1/92635686

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

Greatest Common Factor of 81,47,499 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,47,499 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Greatest Common Factor

We found the factors 81,47,499 . The biggest common factor number is the GCF number.
So the greatest common factor 81,47,499 is 1.

Lets's calculate LCM of 319,949,306

Given numbers has no common factors except 1. So, there LCM is their product i.e 92635686

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92635686

Therefore, the GCF of Fractions 81/319,47/949,499/306 is 1/92635686

Least Common Multiple of 319,949,306 with GCF Formula

Least Common Multiple of 319,949,306 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 319,949,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,949,306) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(319,949,306) x common factors =1 x 1 = 1

LCM(319,949,306) = ( 319 × 949 × 306 ) / 1

LCM(319,949,306) = 92635686 / 1

LCM(319,949,306) = 92635686


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 81/319, 47/949, 499/306

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 81/319, 47/949, 499/306?

Answer: GCF of Numerators as per given numbers 81/319, 47/949, 499/306 is

GCF of Numerators i.e. for 81,47,499 is 1

LCM of denominators i.e. for 319,949,306 is 92635686.

Thus, GCF of Fractions is 1/92635686.Finally, GCF of Fractions for 81/319, 47/949, 499/306 is 1/92635686.