Greatest Common Factor of 148/502, 408/258, 351/259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 148/502, 408/258, 351/259

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 148/502,408/258,351/259

Given fractions are 148/502,408/258,351/259

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 148,408,351

Greatest Common Factor of Numerators i.e. GCF of 148,408,351 is 1 .

LCM of Denominators means LCM of 502,258,259 as per the given fractions.

LCM of 502,258,259 is 16772322 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 148,408,351

GCF of Fractions 148/502,408/258,351/259 is 1/16772322

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

Greatest Common Factor of 148,408,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,408,351 By Matching Biggest Common Factor Method

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 148,408,351 . The biggest common factor number is the GCF number.
So the greatest common factor 148,408,351 is 1.

Lets's calculate LCM of 502,258,259

2 502, 258, 259
251, 129, 259

∴ So the LCM of the given numbers is 2 x 251 x 129 x 259 = 16772322

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16772322

Therefore, the GCF of Fractions 148/502,408/258,351/259 is 1/16772322

Least Common Multiple of 502,258,259 with GCF Formula

Least Common Multiple of 502,258,259 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 502,258,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,258,259) = 1

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

GCF(502,258,259) x common factors =1 x 2 = 2

LCM(502,258,259) = ( 502 × 258 × 259 ) / 2

LCM(502,258,259) = 33544644 / 2

LCM(502,258,259) = 16772322


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 148/502, 408/258, 351/259

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 148/502, 408/258, 351/259?

Answer: GCF of Numerators as per given numbers 148/502, 408/258, 351/259 is

GCF of Numerators i.e. for 148,408,351 is 1

LCM of denominators i.e. for 502,258,259 is 16772322.

Thus, GCF of Fractions is 1/16772322.Finally, GCF of Fractions for 148/502, 408/258, 351/259 is 1/16772322.