Greatest Common Factor of 8802/86, 9957/844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8802/86, 9957/844

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 8802/86,9957/844

Given fractions are 8802/86,9957/844

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 8802,9957

Greatest Common Factor of Numerators i.e. GCF of 8802,9957 is 3 .

LCM of Denominators means LCM of 86,844 as per the given fractions.

LCM of 86,844 is 36292 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8802,9957

GCF of Fractions 8802/86,9957/844 is 3/36292

3 8802, 9957
2934, 3319

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

Greatest Common Factor of 8802,9957 By Matching Biggest Common Factor Method

Greatest Common Factor of 8802,9957 By Matching Biggest Common Factor Method

Factors of 8802

List of positive integer factors of 8802 that divides 8802 without a remainder.

1,2,3,6,9,18,27,54,163,326,489,978,1467,2934,4401,8802

Factors of 9957

List of positive integer factors of 9957 that divides 9957 without a remainder.

1,3,3319,9957

Greatest Common Factor

We found the factors 8802,9957 . The biggest common factor number is the GCF number.
So the greatest common factor 8802,9957 is 3.

Lets's calculate LCM of 86,844

2 86, 844
43, 422

∴ So the LCM of the given numbers is 2 x 43 x 422 = 36292

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/36292

Therefore, the GCF of Fractions 8802/86,9957/844 is 3/36292

Least Common Multiple of 86,844 with GCF Formula

Least Common Multiple of 86,844 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 86,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,844) = 2

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

GCF(86,844) x common factors =2 x 1 = 2

LCM(86,844) = ( 86 × 844 ) / 2

LCM(86,844) = 72584 / 2

LCM(86,844) = 36292


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 8802/86, 9957/844

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 8802/86, 9957/844?

Answer: GCF of Numerators as per given numbers 8802/86, 9957/844 is

GCF of Numerators i.e. for 8802,9957 is 3

LCM of denominators i.e. for 86,844 is 36292.

Thus, GCF of Fractions is 3/36292.Finally, GCF of Fractions for 8802/86, 9957/844 is 3/36292.