Greatest Common Factor of 3349/258, 7546/4906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3349/258, 7546/4906

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 3349/258,7546/4906

Given fractions are 3349/258,7546/4906

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 3349,7546

Greatest Common Factor of Numerators i.e. GCF of 3349,7546 is 1 .

LCM of Denominators means LCM of 258,4906 as per the given fractions.

LCM of 258,4906 is 632874 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3349,7546

GCF of Fractions 3349/258,7546/4906 is 1/632874

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

Greatest Common Factor of 3349,7546 By Matching Biggest Common Factor Method

Greatest Common Factor of 3349,7546 By Matching Biggest Common Factor Method

Factors of 3349

List of positive integer factors of 3349 that divides 3349 without a remainder.

1,17,197,3349

Factors of 7546

List of positive integer factors of 7546 that divides 7546 without a remainder.

1,2,7,11,14,22,49,77,98,154,343,539,686,1078,3773,7546

Greatest Common Factor

We found the factors 3349,7546 . The biggest common factor number is the GCF number.
So the greatest common factor 3349,7546 is 1.

Lets's calculate LCM of 258,4906

2 258, 4906
129, 2453

∴ So the LCM of the given numbers is 2 x 129 x 2453 = 632874

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/632874

Therefore, the GCF of Fractions 3349/258,7546/4906 is 1/632874

Least Common Multiple of 258,4906 with GCF Formula

Least Common Multiple of 258,4906 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 258,4906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,4906) = 2

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

GCF(258,4906) x common factors =2 x 1 = 2

LCM(258,4906) = ( 258 × 4906 ) / 2

LCM(258,4906) = 1265748 / 2

LCM(258,4906) = 632874


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 3349/258, 7546/4906

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 3349/258, 7546/4906?

Answer: GCF of Numerators as per given numbers 3349/258, 7546/4906 is

GCF of Numerators i.e. for 3349,7546 is 1

LCM of denominators i.e. for 258,4906 is 632874.

Thus, GCF of Fractions is 1/632874.Finally, GCF of Fractions for 3349/258, 7546/4906 is 1/632874.