Greatest Common Factor of 2608/133, 7462/361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2608/133, 7462/361

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 2608/133,7462/361

Given fractions are 2608/133,7462/361

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 2608,7462

Greatest Common Factor of Numerators i.e. GCF of 2608,7462 is 2 .

LCM of Denominators means LCM of 133,361 as per the given fractions.

LCM of 133,361 is 2527 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2608,7462

GCF of Fractions 2608/133,7462/361 is 2/2527

2 2608, 7462
1304, 3731

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

Greatest Common Factor of 2608,7462 By Matching Biggest Common Factor Method

Greatest Common Factor of 2608,7462 By Matching Biggest Common Factor Method

Factors of 2608

List of positive integer factors of 2608 that divides 2608 without a remainder.

1,2,4,8,16,163,326,652,1304,2608

Factors of 7462

List of positive integer factors of 7462 that divides 7462 without a remainder.

1,2,7,13,14,26,41,82,91,182,287,533,574,1066,3731,7462

Greatest Common Factor

We found the factors 2608,7462 . The biggest common factor number is the GCF number.
So the greatest common factor 2608,7462 is 2.

Lets's calculate LCM of 133,361

19 133, 361
7, 19

∴ So the LCM of the given numbers is 19 x 7 x 19 = 2527

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2527

Therefore, the GCF of Fractions 2608/133,7462/361 is 2/2527

Least Common Multiple of 133,361 with GCF Formula

Least Common Multiple of 133,361 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 133,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(133,361) = 19

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

GCF(133,361) x common factors =19 x 1 = 19

LCM(133,361) = ( 133 × 361 ) / 19

LCM(133,361) = 48013 / 19

LCM(133,361) = 2527


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 2608/133, 7462/361

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 2608/133, 7462/361?

Answer: GCF of Numerators as per given numbers 2608/133, 7462/361 is

GCF of Numerators i.e. for 2608,7462 is 2

LCM of denominators i.e. for 133,361 is 2527.

Thus, GCF of Fractions is 2/2527.Finally, GCF of Fractions for 2608/133, 7462/361 is 2/2527.