Greatest Common Factor of 479/86, 721/57, 194/99

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 479/86, 721/57, 194/99

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 479/86,721/57,194/99

Given fractions are 479/86,721/57,194/99

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 479,721,194

Greatest Common Factor of Numerators i.e. GCF of 479,721,194 is 1 .

LCM of Denominators means LCM of 86,57,99 as per the given fractions.

LCM of 86,57,99 is 161766 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 479,721,194

GCF of Fractions 479/86,721/57,194/99 is 1/161766

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

Greatest Common Factor of 479,721,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 479,721,194 By Matching Biggest Common Factor Method

Factors of 479

List of positive integer factors of 479 that divides 479 without a remainder.

1,479

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 479,721,194 . The biggest common factor number is the GCF number.
So the greatest common factor 479,721,194 is 1.

Lets's calculate LCM of 86,57,99

3 86, 57, 99
86, 19, 33

∴ So the LCM of the given numbers is 3 x 86 x 19 x 33 = 161766

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/161766

Therefore, the GCF of Fractions 479/86,721/57,194/99 is 1/161766

Least Common Multiple of 86,57,99 with GCF Formula

Least Common Multiple of 86,57,99 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 86,57,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,57,99) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(86,57,99) x common factors =1 x 3 = 3

LCM(86,57,99) = ( 86 × 57 × 99 ) / 3

LCM(86,57,99) = 485298 / 3

LCM(86,57,99) = 161766


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 479/86, 721/57, 194/99

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 479/86, 721/57, 194/99?

Answer: GCF of Numerators as per given numbers 479/86, 721/57, 194/99 is

GCF of Numerators i.e. for 479,721,194 is 1

LCM of denominators i.e. for 86,57,99 is 161766.

Thus, GCF of Fractions is 1/161766.Finally, GCF of Fractions for 479/86, 721/57, 194/99 is 1/161766.