Greatest Common Factor of 396/395, 7513/931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 396/395, 7513/931

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 396/395,7513/931

Given fractions are 396/395,7513/931

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 396,7513

Greatest Common Factor of Numerators i.e. GCF of 396,7513 is 11 .

LCM of Denominators means LCM of 395,931 as per the given fractions.

LCM of 395,931 is 367745 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 396,7513

GCF of Fractions 396/395,7513/931 is 11/367745

11 396, 7513
36, 683

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 396,7513 By Matching Biggest Common Factor Method

Greatest Common Factor of 396,7513 By Matching Biggest Common Factor Method

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 7513

List of positive integer factors of 7513 that divides 7513 without a remainder.

1,11,683,7513

Greatest Common Factor

We found the factors 396,7513 . The biggest common factor number is the GCF number.
So the greatest common factor 396,7513 is 11.

Lets's calculate LCM of 395,931

Given numbers has no common factors except 1. So, there LCM is their product i.e 367745

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/367745

Therefore, the GCF of Fractions 396/395,7513/931 is 11/367745

Least Common Multiple of 395,931 with GCF Formula

Least Common Multiple of 395,931 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 395,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(395,931) = 1

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

GCF(395,931) x common factors =1 x 1 = 1

LCM(395,931) = ( 395 × 931 ) / 1

LCM(395,931) = 367745 / 1

LCM(395,931) = 367745


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 396/395, 7513/931

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 396/395, 7513/931?

Answer: GCF of Numerators as per given numbers 396/395, 7513/931 is

GCF of Numerators i.e. for 396,7513 is 11

LCM of denominators i.e. for 395,931 is 367745.

Thus, GCF of Fractions is 11/367745.Finally, GCF of Fractions for 396/395, 7513/931 is 11/367745.