Greatest Common Factor of 9921/44, 8867/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 9921/44, 8867/830

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 9921/44,8867/830

Given fractions are 9921/44,8867/830

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 9921,8867

Greatest Common Factor of Numerators i.e. GCF of 9921,8867 is 1 .

LCM of Denominators means LCM of 44,830 as per the given fractions.

LCM of 44,830 is 18260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9921,8867

GCF of Fractions 9921/44,8867/830 is 1/18260

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

Greatest Common Factor of 9921,8867 By Matching Biggest Common Factor Method

Greatest Common Factor of 9921,8867 By Matching Biggest Common Factor Method

Factors of 9921

List of positive integer factors of 9921 that divides 9921 without a remainder.

1,3,3307,9921

Factors of 8867

List of positive integer factors of 8867 that divides 8867 without a remainder.

1,8867

Greatest Common Factor

We found the factors 9921,8867 . The biggest common factor number is the GCF number.
So the greatest common factor 9921,8867 is 1.


Lets's calculate LCM of 44,830

2 44, 830
22, 415

∴ So the LCM of the given numbers is 2 x 22 x 415 = 18260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18260

Therefore, the GCF of Fractions 9921/44,8867/830 is 1/18260

Least Common Multiple of 44,830 with GCF Formula

Least Common Multiple of 44,830 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 44,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,830) = 2

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

GCF(44,830) x common factors =2 x 1 = 2

LCM(44,830) = ( 44 × 830 ) / 2

LCM(44,830) = 36520 / 2

LCM(44,830) = 18260


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 9921/44, 8867/830

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 9921/44, 8867/830?

Answer: GCF of Numerators as per given numbers 9921/44, 8867/830 is

GCF of Numerators i.e. for 9921,8867 is 1

LCM of denominators i.e. for 44,830 is 18260.

Thus, GCF of Fractions is 1/18260.Finally, GCF of Fractions for 9921/44, 8867/830 is 1/18260.