Greatest Common Factor of 492/82, 7299/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 492/82, 7299/144

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 492/82,7299/144

Given fractions are 492/82,7299/144

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 492,7299

Greatest Common Factor of Numerators i.e. GCF of 492,7299 is 3 .

LCM of Denominators means LCM of 82,144 as per the given fractions.

LCM of 82,144 is 5904 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 492,7299

GCF of Fractions 492/82,7299/144 is 3/5904

3 492, 7299
164, 2433

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

Greatest Common Factor of 492,7299 By Matching Biggest Common Factor Method

Greatest Common Factor of 492,7299 By Matching Biggest Common Factor Method

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 7299

List of positive integer factors of 7299 that divides 7299 without a remainder.

1,3,9,811,2433,7299

Greatest Common Factor

We found the factors 492,7299 . The biggest common factor number is the GCF number.
So the greatest common factor 492,7299 is 3.

Lets's calculate LCM of 82,144

2 82, 144
41, 72

∴ So the LCM of the given numbers is 2 x 41 x 72 = 5904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5904

Therefore, the GCF of Fractions 492/82,7299/144 is 3/5904

Least Common Multiple of 82,144 with GCF Formula

Least Common Multiple of 82,144 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 82,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,144) = 2

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

GCF(82,144) x common factors =2 x 1 = 2

LCM(82,144) = ( 82 × 144 ) / 2

LCM(82,144) = 11808 / 2

LCM(82,144) = 5904


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 492/82, 7299/144

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 492/82, 7299/144?

Answer: GCF of Numerators as per given numbers 492/82, 7299/144 is

GCF of Numerators i.e. for 492,7299 is 3

LCM of denominators i.e. for 82,144 is 5904.

Thus, GCF of Fractions is 3/5904.Finally, GCF of Fractions for 492/82, 7299/144 is 3/5904.