Greatest Common Factor of 8629/18, 9608/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8629/18, 9608/286

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 8629/18,9608/286

Given fractions are 8629/18,9608/286

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 8629,9608

Greatest Common Factor of Numerators i.e. GCF of 8629,9608 is 1 .

LCM of Denominators means LCM of 18,286 as per the given fractions.

LCM of 18,286 is 2574 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8629,9608

GCF of Fractions 8629/18,9608/286 is 1/2574

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

Greatest Common Factor of 8629,9608 By Matching Biggest Common Factor Method

Greatest Common Factor of 8629,9608 By Matching Biggest Common Factor Method

Factors of 8629

List of positive integer factors of 8629 that divides 8629 without a remainder.

1,8629

Factors of 9608

List of positive integer factors of 9608 that divides 9608 without a remainder.

1,2,4,8,1201,2402,4804,9608

Greatest Common Factor

We found the factors 8629,9608 . The biggest common factor number is the GCF number.
So the greatest common factor 8629,9608 is 1.

Lets's calculate LCM of 18,286

2 18, 286
9, 143

∴ So the LCM of the given numbers is 2 x 9 x 143 = 2574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2574

Therefore, the GCF of Fractions 8629/18,9608/286 is 1/2574

Least Common Multiple of 18,286 with GCF Formula

Least Common Multiple of 18,286 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 18,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,286) = 2

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

GCF(18,286) x common factors =2 x 1 = 2

LCM(18,286) = ( 18 × 286 ) / 2

LCM(18,286) = 5148 / 2

LCM(18,286) = 2574


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 8629/18, 9608/286

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 8629/18, 9608/286?

Answer: GCF of Numerators as per given numbers 8629/18, 9608/286 is

GCF of Numerators i.e. for 8629,9608 is 1

LCM of denominators i.e. for 18,286 is 2574.

Thus, GCF of Fractions is 1/2574.Finally, GCF of Fractions for 8629/18, 9608/286 is 1/2574.