Greatest Common Factor of 8823/330, 5153/6575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8823/330, 5153/6575

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 8823/330,5153/6575

Given fractions are 8823/330,5153/6575

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 8823,5153

Greatest Common Factor of Numerators i.e. GCF of 8823,5153 is 1 .

LCM of Denominators means LCM of 330,6575 as per the given fractions.

LCM of 330,6575 is 433950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8823,5153

GCF of Fractions 8823/330,5153/6575 is 1/433950

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

Greatest Common Factor of 8823,5153 By Matching Biggest Common Factor Method

Greatest Common Factor of 8823,5153 By Matching Biggest Common Factor Method

Factors of 8823

List of positive integer factors of 8823 that divides 8823 without a remainder.

1,3,17,51,173,519,2941,8823

Factors of 5153

List of positive integer factors of 5153 that divides 5153 without a remainder.

1,5153

Greatest Common Factor

We found the factors 8823,5153 . The biggest common factor number is the GCF number.
So the greatest common factor 8823,5153 is 1.

Lets's calculate LCM of 330,6575

5 330, 6575
66, 1315

∴ So the LCM of the given numbers is 5 x 66 x 1315 = 433950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/433950

Therefore, the GCF of Fractions 8823/330,5153/6575 is 1/433950

Least Common Multiple of 330,6575 with GCF Formula

Least Common Multiple of 330,6575 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 330,6575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,6575) = 5

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

GCF(330,6575) x common factors =5 x 1 = 5

LCM(330,6575) = ( 330 × 6575 ) / 5

LCM(330,6575) = 2169750 / 5

LCM(330,6575) = 433950


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 8823/330, 5153/6575

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 8823/330, 5153/6575?

Answer: GCF of Numerators as per given numbers 8823/330, 5153/6575 is

GCF of Numerators i.e. for 8823,5153 is 1

LCM of denominators i.e. for 330,6575 is 433950.

Thus, GCF of Fractions is 1/433950.Finally, GCF of Fractions for 8823/330, 5153/6575 is 1/433950.