Greatest Common Factor of 519/29, 735/12, 305/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 519/29, 735/12, 305/274

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 519/29,735/12,305/274

Given fractions are 519/29,735/12,305/274

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 519,735,305

Greatest Common Factor of Numerators i.e. GCF of 519,735,305 is 1 .

LCM of Denominators means LCM of 29,12,274 as per the given fractions.

LCM of 29,12,274 is 47676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 519,735,305

GCF of Fractions 519/29,735/12,305/274 is 1/47676

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

Greatest Common Factor of 519,735,305 By Matching Biggest Common Factor Method

Greatest Common Factor of 519,735,305 By Matching Biggest Common Factor Method

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Greatest Common Factor

We found the factors 519,735,305 . The biggest common factor number is the GCF number.
So the greatest common factor 519,735,305 is 1.

Lets's calculate LCM of 29,12,274

2 29, 12, 274
29, 6, 137

∴ So the LCM of the given numbers is 2 x 29 x 6 x 137 = 47676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47676

Therefore, the GCF of Fractions 519/29,735/12,305/274 is 1/47676

Least Common Multiple of 29,12,274 with GCF Formula

Least Common Multiple of 29,12,274 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 29,12,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,12,274) = 1

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

GCF(29,12,274) x common factors =1 x 2 = 2

LCM(29,12,274) = ( 29 × 12 × 274 ) / 2

LCM(29,12,274) = 95352 / 2

LCM(29,12,274) = 47676


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 519/29, 735/12, 305/274

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 519/29, 735/12, 305/274?

Answer: GCF of Numerators as per given numbers 519/29, 735/12, 305/274 is

GCF of Numerators i.e. for 519,735,305 is 1

LCM of denominators i.e. for 29,12,274 is 47676.

Thus, GCF of Fractions is 1/47676.Finally, GCF of Fractions for 519/29, 735/12, 305/274 is 1/47676.