Greatest Common Factor of 3412/738, 5154/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3412/738, 5154/248

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 3412/738,5154/248

Given fractions are 3412/738,5154/248

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 3412,5154

Greatest Common Factor of Numerators i.e. GCF of 3412,5154 is 2 .

LCM of Denominators means LCM of 738,248 as per the given fractions.

LCM of 738,248 is 91512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3412,5154

GCF of Fractions 3412/738,5154/248 is 2/91512

2 3412, 5154
1706, 2577

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

Greatest Common Factor of 3412,5154 By Matching Biggest Common Factor Method

Greatest Common Factor of 3412,5154 By Matching Biggest Common Factor Method

Factors of 3412

List of positive integer factors of 3412 that divides 3412 without a remainder.

1,2,4,853,1706,3412

Factors of 5154

List of positive integer factors of 5154 that divides 5154 without a remainder.

1,2,3,6,859,1718,2577,5154

Greatest Common Factor

We found the factors 3412,5154 . The biggest common factor number is the GCF number.
So the greatest common factor 3412,5154 is 2.

Lets's calculate LCM of 738,248

2 738, 248
369, 124

∴ So the LCM of the given numbers is 2 x 369 x 124 = 91512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/91512

Therefore, the GCF of Fractions 3412/738,5154/248 is 2/91512

Least Common Multiple of 738,248 with GCF Formula

Least Common Multiple of 738,248 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 738,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,248) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(738,248) x common factors =2 x 1 = 2

LCM(738,248) = ( 738 × 248 ) / 2

LCM(738,248) = 183024 / 2

LCM(738,248) = 91512


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 3412/738, 5154/248

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 3412/738, 5154/248?

Answer: GCF of Numerators as per given numbers 3412/738, 5154/248 is

GCF of Numerators i.e. for 3412,5154 is 2

LCM of denominators i.e. for 738,248 is 91512.

Thus, GCF of Fractions is 2/91512.Finally, GCF of Fractions for 3412/738, 5154/248 is 2/91512.