Greatest Common Factor of 9332/855, 9854/5774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9332/855, 9854/5774

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 9332/855,9854/5774

Given fractions are 9332/855,9854/5774

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 9332,9854

Greatest Common Factor of Numerators i.e. GCF of 9332,9854 is 2 .

LCM of Denominators means LCM of 855,5774 as per the given fractions.

LCM of 855,5774 is 4936770 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9332,9854

GCF of Fractions 9332/855,9854/5774 is 2/4936770

2 9332, 9854
4666, 4927

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9332,9854 By Matching Biggest Common Factor Method

Greatest Common Factor of 9332,9854 By Matching Biggest Common Factor Method

Factors of 9332

List of positive integer factors of 9332 that divides 9332 without a remainder.

1,2,4,2333,4666,9332

Factors of 9854

List of positive integer factors of 9854 that divides 9854 without a remainder.

1,2,13,26,379,758,4927,9854

Greatest Common Factor

We found the factors 9332,9854 . The biggest common factor number is the GCF number.
So the greatest common factor 9332,9854 is 2.

Lets's calculate LCM of 855,5774

Given numbers has no common factors except 1. So, there LCM is their product i.e 4936770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4936770

Therefore, the GCF of Fractions 9332/855,9854/5774 is 2/4936770

Least Common Multiple of 855,5774 with GCF Formula

Least Common Multiple of 855,5774 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 855,5774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(855,5774) = 1

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

GCF(855,5774) x common factors =1 x 1 = 1

LCM(855,5774) = ( 855 × 5774 ) / 1

LCM(855,5774) = 4936770 / 1

LCM(855,5774) = 4936770


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 9332/855, 9854/5774

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 9332/855, 9854/5774?

Answer: GCF of Numerators as per given numbers 9332/855, 9854/5774 is

GCF of Numerators i.e. for 9332,9854 is 2

LCM of denominators i.e. for 855,5774 is 4936770.

Thus, GCF of Fractions is 2/4936770.Finally, GCF of Fractions for 9332/855, 9854/5774 is 2/4936770.