Greatest Common Factor of 1191/32, 7338/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1191/32, 7338/489

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 1191/32,7338/489

Given fractions are 1191/32,7338/489

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 1191,7338

Greatest Common Factor of Numerators i.e. GCF of 1191,7338 is 3 .

LCM of Denominators means LCM of 32,489 as per the given fractions.

LCM of 32,489 is 15648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1191,7338

GCF of Fractions 1191/32,7338/489 is 3/15648

3 1191, 7338
397, 2446

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1191,7338 By Matching Biggest Common Factor Method

Greatest Common Factor of 1191,7338 By Matching Biggest Common Factor Method

Factors of 1191

List of positive integer factors of 1191 that divides 1191 without a remainder.

1,3,397,1191

Factors of 7338

List of positive integer factors of 7338 that divides 7338 without a remainder.

1,2,3,6,1223,2446,3669,7338

Greatest Common Factor

We found the factors 1191,7338 . The biggest common factor number is the GCF number.
So the greatest common factor 1191,7338 is 3.

Lets's calculate LCM of 32,489

Given numbers has no common factors except 1. So, there LCM is their product i.e 15648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/15648

Therefore, the GCF of Fractions 1191/32,7338/489 is 3/15648

Least Common Multiple of 32,489 with GCF Formula

Least Common Multiple of 32,489 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 32,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,489) = 1

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

GCF(32,489) x common factors =1 x 1 = 1

LCM(32,489) = ( 32 × 489 ) / 1

LCM(32,489) = 15648 / 1

LCM(32,489) = 15648


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 1191/32, 7338/489

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 1191/32, 7338/489?

Answer: GCF of Numerators as per given numbers 1191/32, 7338/489 is

GCF of Numerators i.e. for 1191,7338 is 3

LCM of denominators i.e. for 32,489 is 15648.

Thus, GCF of Fractions is 3/15648.Finally, GCF of Fractions for 1191/32, 7338/489 is 3/15648.