Greatest Common Factor of 8243/240, 7483/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8243/240, 7483/266

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 8243/240,7483/266

Given fractions are 8243/240,7483/266

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 8243,7483

Greatest Common Factor of Numerators i.e. GCF of 8243,7483 is 1 .

LCM of Denominators means LCM of 240,266 as per the given fractions.

LCM of 240,266 is 31920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8243,7483

GCF of Fractions 8243/240,7483/266 is 1/31920

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

Greatest Common Factor of 8243,7483 By Matching Biggest Common Factor Method

Greatest Common Factor of 8243,7483 By Matching Biggest Common Factor Method

Factors of 8243

List of positive integer factors of 8243 that divides 8243 without a remainder.

1,8243

Factors of 7483

List of positive integer factors of 7483 that divides 7483 without a remainder.

1,7,1069,7483

Greatest Common Factor

We found the factors 8243,7483 . The biggest common factor number is the GCF number.
So the greatest common factor 8243,7483 is 1.

Lets's calculate LCM of 240,266

2 240, 266
120, 133

∴ So the LCM of the given numbers is 2 x 120 x 133 = 31920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31920

Therefore, the GCF of Fractions 8243/240,7483/266 is 1/31920

Least Common Multiple of 240,266 with GCF Formula

Least Common Multiple of 240,266 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 240,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,266) = 2

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

GCF(240,266) x common factors =2 x 1 = 2

LCM(240,266) = ( 240 × 266 ) / 2

LCM(240,266) = 63840 / 2

LCM(240,266) = 31920


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 8243/240, 7483/266

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 8243/240, 7483/266?

Answer: GCF of Numerators as per given numbers 8243/240, 7483/266 is

GCF of Numerators i.e. for 8243,7483 is 1

LCM of denominators i.e. for 240,266 is 31920.

Thus, GCF of Fractions is 1/31920.Finally, GCF of Fractions for 8243/240, 7483/266 is 1/31920.