Greatest Common Factor of 8364/72, 9833/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8364/72, 9833/268

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 8364/72,9833/268

Given fractions are 8364/72,9833/268

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 8364,9833

Greatest Common Factor of Numerators i.e. GCF of 8364,9833 is 1 .

LCM of Denominators means LCM of 72,268 as per the given fractions.

LCM of 72,268 is 4824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8364,9833

GCF of Fractions 8364/72,9833/268 is 1/4824

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

Greatest Common Factor of 8364,9833 By Matching Biggest Common Factor Method

Greatest Common Factor of 8364,9833 By Matching Biggest Common Factor Method

Factors of 8364

List of positive integer factors of 8364 that divides 8364 without a remainder.

1,2,3,4,6,12,17,34,41,51,68,82,102,123,164,204,246,492,697,1394,2091,2788,4182,8364

Factors of 9833

List of positive integer factors of 9833 that divides 9833 without a remainder.

1,9833

Greatest Common Factor

We found the factors 8364,9833 . The biggest common factor number is the GCF number.
So the greatest common factor 8364,9833 is 1.

Lets's calculate LCM of 72,268

2 72, 268
2 36, 134
18, 67

∴ So the LCM of the given numbers is 2 x 2 x 18 x 67 = 4824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4824

Therefore, the GCF of Fractions 8364/72,9833/268 is 1/4824

Least Common Multiple of 72,268 with GCF Formula

Least Common Multiple of 72,268 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 72,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,268) = 4

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

GCF(72,268) x common factors =4 x 1 = 4

LCM(72,268) = ( 72 × 268 ) / 4

LCM(72,268) = 19296 / 4

LCM(72,268) = 4824


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 8364/72, 9833/268

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 8364/72, 9833/268?

Answer: GCF of Numerators as per given numbers 8364/72, 9833/268 is

GCF of Numerators i.e. for 8364,9833 is 1

LCM of denominators i.e. for 72,268 is 4824.

Thus, GCF of Fractions is 1/4824.Finally, GCF of Fractions for 8364/72, 9833/268 is 1/4824.