Greatest Common Factor of 460/219, 513/615, 174/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 460/219, 513/615, 174/994

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 460/219,513/615,174/994

Given fractions are 460/219,513/615,174/994

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 460,513,174

Greatest Common Factor of Numerators i.e. GCF of 460,513,174 is 1 .

LCM of Denominators means LCM of 219,615,994 as per the given fractions.

LCM of 219,615,994 is 44625630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 460,513,174

GCF of Fractions 460/219,513/615,174/994 is 1/44625630

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

Greatest Common Factor of 460,513,174 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,513,174 By Matching Biggest Common Factor Method

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Greatest Common Factor

We found the factors 460,513,174 . The biggest common factor number is the GCF number.
So the greatest common factor 460,513,174 is 1.

Lets's calculate LCM of 219,615,994

3 219, 615, 994
73, 205, 994

∴ So the LCM of the given numbers is 3 x 73 x 205 x 994 = 44625630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44625630

Therefore, the GCF of Fractions 460/219,513/615,174/994 is 1/44625630

Least Common Multiple of 219,615,994 with GCF Formula

Least Common Multiple of 219,615,994 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 219,615,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,615,994) = 1

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

GCF(219,615,994) x common factors =1 x 3 = 3

LCM(219,615,994) = ( 219 × 615 × 994 ) / 3

LCM(219,615,994) = 133876890 / 3

LCM(219,615,994) = 44625630


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 460/219, 513/615, 174/994

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 460/219, 513/615, 174/994?

Answer: GCF of Numerators as per given numbers 460/219, 513/615, 174/994 is

GCF of Numerators i.e. for 460,513,174 is 1

LCM of denominators i.e. for 219,615,994 is 44625630.

Thus, GCF of Fractions is 1/44625630.Finally, GCF of Fractions for 460/219, 513/615, 174/994 is 1/44625630.