Greatest Common Factor of 8223/642, 9049/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8223/642, 9049/260

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 8223/642,9049/260

Given fractions are 8223/642,9049/260

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 8223,9049

Greatest Common Factor of Numerators i.e. GCF of 8223,9049 is 1 .

LCM of Denominators means LCM of 642,260 as per the given fractions.

LCM of 642,260 is 83460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8223,9049

GCF of Fractions 8223/642,9049/260 is 1/83460

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

Greatest Common Factor of 8223,9049 By Matching Biggest Common Factor Method

Greatest Common Factor of 8223,9049 By Matching Biggest Common Factor Method

Factors of 8223

List of positive integer factors of 8223 that divides 8223 without a remainder.

1,3,2741,8223

Factors of 9049

List of positive integer factors of 9049 that divides 9049 without a remainder.

1,9049

Greatest Common Factor

We found the factors 8223,9049 . The biggest common factor number is the GCF number.
So the greatest common factor 8223,9049 is 1.

Lets's calculate LCM of 642,260

2 642, 260
321, 130

∴ So the LCM of the given numbers is 2 x 321 x 130 = 83460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83460

Therefore, the GCF of Fractions 8223/642,9049/260 is 1/83460

Least Common Multiple of 642,260 with GCF Formula

Least Common Multiple of 642,260 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 642,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(642,260) = 2

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

GCF(642,260) x common factors =2 x 1 = 2

LCM(642,260) = ( 642 × 260 ) / 2

LCM(642,260) = 166920 / 2

LCM(642,260) = 83460


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 8223/642, 9049/260

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 8223/642, 9049/260?

Answer: GCF of Numerators as per given numbers 8223/642, 9049/260 is

GCF of Numerators i.e. for 8223,9049 is 1

LCM of denominators i.e. for 642,260 is 83460.

Thus, GCF of Fractions is 1/83460.Finally, GCF of Fractions for 8223/642, 9049/260 is 1/83460.