Greatest Common Factor of 9243/262, 7659/4508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9243/262, 7659/4508

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 9243/262,7659/4508

Given fractions are 9243/262,7659/4508

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 9243,7659

Greatest Common Factor of Numerators i.e. GCF of 9243,7659 is 9 .

LCM of Denominators means LCM of 262,4508 as per the given fractions.

LCM of 262,4508 is 590548 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9243,7659

GCF of Fractions 9243/262,7659/4508 is 9/590548

3 9243, 7659
3 3081, 2553
1027, 851

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 9243,7659 By Matching Biggest Common Factor Method

Greatest Common Factor of 9243,7659 By Matching Biggest Common Factor Method

Factors of 9243

List of positive integer factors of 9243 that divides 9243 without a remainder.

1,3,9,13,39,79,117,237,711,1027,3081,9243

Factors of 7659

List of positive integer factors of 7659 that divides 7659 without a remainder.

1,3,9,23,37,69,111,207,333,851,2553,7659

Greatest Common Factor

We found the factors 9243,7659 . The biggest common factor number is the GCF number.
So the greatest common factor 9243,7659 is 9.

Lets's calculate LCM of 262,4508

2 262, 4508
131, 2254

∴ So the LCM of the given numbers is 2 x 131 x 2254 = 590548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/590548

Therefore, the GCF of Fractions 9243/262,7659/4508 is 9/590548

Least Common Multiple of 262,4508 with GCF Formula

Least Common Multiple of 262,4508 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 262,4508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(262,4508) = 2

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

GCF(262,4508) x common factors =2 x 1 = 2

LCM(262,4508) = ( 262 × 4508 ) / 2

LCM(262,4508) = 1181096 / 2

LCM(262,4508) = 590548


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 9243/262, 7659/4508

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 9243/262, 7659/4508?

Answer: GCF of Numerators as per given numbers 9243/262, 7659/4508 is

GCF of Numerators i.e. for 9243,7659 is 9

LCM of denominators i.e. for 262,4508 is 590548.

Thus, GCF of Fractions is 9/590548.Finally, GCF of Fractions for 9243/262, 7659/4508 is 9/590548.