Greatest Common Factor of 9728/149, 8429/8983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9728/149, 8429/8983

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 9728/149,8429/8983

Given fractions are 9728/149,8429/8983

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 9728,8429

Greatest Common Factor of Numerators i.e. GCF of 9728,8429 is 1 .

LCM of Denominators means LCM of 149,8983 as per the given fractions.

LCM of 149,8983 is 1338467 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9728,8429

GCF of Fractions 9728/149,8429/8983 is 1/1338467

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

Greatest Common Factor of 9728,8429 By Matching Biggest Common Factor Method

Greatest Common Factor of 9728,8429 By Matching Biggest Common Factor Method

Factors of 9728

List of positive integer factors of 9728 that divides 9728 without a remainder.

1,2,4,8,16,19,32,38,64,76,128,152,256,304,512,608,1216,2432,4864,9728

Factors of 8429

List of positive integer factors of 8429 that divides 8429 without a remainder.

1,8429

Greatest Common Factor

We found the factors 9728,8429 . The biggest common factor number is the GCF number.
So the greatest common factor 9728,8429 is 1.

Lets's calculate LCM of 149,8983

Given numbers has no common factors except 1. So, there LCM is their product i.e 1338467

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1338467

Therefore, the GCF of Fractions 9728/149,8429/8983 is 1/1338467

Least Common Multiple of 149,8983 with GCF Formula

Least Common Multiple of 149,8983 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 149,8983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,8983) = 1

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

GCF(149,8983) x common factors =1 x 1 = 1

LCM(149,8983) = ( 149 × 8983 ) / 1

LCM(149,8983) = 1338467 / 1

LCM(149,8983) = 1338467


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 9728/149, 8429/8983

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 9728/149, 8429/8983?

Answer: GCF of Numerators as per given numbers 9728/149, 8429/8983 is

GCF of Numerators i.e. for 9728,8429 is 1

LCM of denominators i.e. for 149,8983 is 1338467.

Thus, GCF of Fractions is 1/1338467.Finally, GCF of Fractions for 9728/149, 8429/8983 is 1/1338467.