Greatest Common Factor of 518/26, 178/31, 514/48

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 518/26, 178/31, 514/48

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 518/26,178/31,514/48

Given fractions are 518/26,178/31,514/48

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 518,178,514

Greatest Common Factor of Numerators i.e. GCF of 518,178,514 is 2 .

LCM of Denominators means LCM of 26,31,48 as per the given fractions.

LCM of 26,31,48 is 19344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 518,178,514

GCF of Fractions 518/26,178/31,514/48 is 2/19344

2 518, 178, 514
259, 89, 257

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 518,178,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 518,178,514 By Matching Biggest Common Factor Method

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 518,178,514 . The biggest common factor number is the GCF number.
So the greatest common factor 518,178,514 is 2.

Lets's calculate LCM of 26,31,48

2 26, 31, 48
13, 31, 24

∴ So the LCM of the given numbers is 2 x 13 x 31 x 24 = 19344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19344

Therefore, the GCF of Fractions 518/26,178/31,514/48 is 2/19344

Least Common Multiple of 26,31,48 with GCF Formula

Least Common Multiple of 26,31,48 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 26,31,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,31,48) = 1

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

GCF(26,31,48) x common factors =1 x 2 = 2

LCM(26,31,48) = ( 26 × 31 × 48 ) / 2

LCM(26,31,48) = 38688 / 2

LCM(26,31,48) = 19344


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 518/26, 178/31, 514/48

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 518/26, 178/31, 514/48?

Answer: GCF of Numerators as per given numbers 518/26, 178/31, 514/48 is

GCF of Numerators i.e. for 518,178,514 is 2

LCM of denominators i.e. for 26,31,48 is 19344.

Thus, GCF of Fractions is 2/19344.Finally, GCF of Fractions for 518/26, 178/31, 514/48 is 2/19344.