Greatest Common Factor of 8391/388, 9712/9732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8391/388, 9712/9732

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 8391/388,9712/9732

Given fractions are 8391/388,9712/9732

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 8391,9712

Greatest Common Factor of Numerators i.e. GCF of 8391,9712 is 1 .

LCM of Denominators means LCM of 388,9732 as per the given fractions.

LCM of 388,9732 is 944004 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8391,9712

GCF of Fractions 8391/388,9712/9732 is 1/944004

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

Greatest Common Factor of 8391,9712 By Matching Biggest Common Factor Method

Greatest Common Factor of 8391,9712 By Matching Biggest Common Factor Method

Factors of 8391

List of positive integer factors of 8391 that divides 8391 without a remainder.

1,3,2797,8391

Factors of 9712

List of positive integer factors of 9712 that divides 9712 without a remainder.

1,2,4,8,16,607,1214,2428,4856,9712

Greatest Common Factor

We found the factors 8391,9712 . The biggest common factor number is the GCF number.
So the greatest common factor 8391,9712 is 1.

Lets's calculate LCM of 388,9732

2 388, 9732
2 194, 4866
97, 2433

∴ So the LCM of the given numbers is 2 x 2 x 97 x 2433 = 944004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/944004

Therefore, the GCF of Fractions 8391/388,9712/9732 is 1/944004

Least Common Multiple of 388,9732 with GCF Formula

Least Common Multiple of 388,9732 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 388,9732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,9732) = 4

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

GCF(388,9732) x common factors =4 x 1 = 4

LCM(388,9732) = ( 388 × 9732 ) / 4

LCM(388,9732) = 3776016 / 4

LCM(388,9732) = 944004


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 8391/388, 9712/9732

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 8391/388, 9712/9732?

Answer: GCF of Numerators as per given numbers 8391/388, 9712/9732 is

GCF of Numerators i.e. for 8391,9712 is 1

LCM of denominators i.e. for 388,9732 is 944004.

Thus, GCF of Fractions is 1/944004.Finally, GCF of Fractions for 8391/388, 9712/9732 is 1/944004.