Greatest Common Factor of 714/338, 3241/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 714/338, 3241/292

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 714/338,3241/292

Given fractions are 714/338,3241/292

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 714,3241

Greatest Common Factor of Numerators i.e. GCF of 714,3241 is 7 .

LCM of Denominators means LCM of 338,292 as per the given fractions.

LCM of 338,292 is 49348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 714,3241

GCF of Fractions 714/338,3241/292 is 7/49348

7 714, 3241
102, 463

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 714,3241 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,3241 By Matching Biggest Common Factor Method

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 3241

List of positive integer factors of 3241 that divides 3241 without a remainder.

1,7,463,3241

Greatest Common Factor

We found the factors 714,3241 . The biggest common factor number is the GCF number.
So the greatest common factor 714,3241 is 7.

Lets's calculate LCM of 338,292

2 338, 292
169, 146

∴ So the LCM of the given numbers is 2 x 169 x 146 = 49348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/49348

Therefore, the GCF of Fractions 714/338,3241/292 is 7/49348

Least Common Multiple of 338,292 with GCF Formula

Least Common Multiple of 338,292 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 338,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,292) = 2

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

GCF(338,292) x common factors =2 x 1 = 2

LCM(338,292) = ( 338 × 292 ) / 2

LCM(338,292) = 98696 / 2

LCM(338,292) = 49348


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 714/338, 3241/292

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 714/338, 3241/292?

Answer: GCF of Numerators as per given numbers 714/338, 3241/292 is

GCF of Numerators i.e. for 714,3241 is 7

LCM of denominators i.e. for 338,292 is 49348.

Thus, GCF of Fractions is 7/49348.Finally, GCF of Fractions for 714/338, 3241/292 is 7/49348.