Greatest Common Factor of 522/223, 8033/793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 522/223, 8033/793

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 522/223,8033/793

Given fractions are 522/223,8033/793

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 522,8033

Greatest Common Factor of Numerators i.e. GCF of 522,8033 is 29 .

LCM of Denominators means LCM of 223,793 as per the given fractions.

LCM of 223,793 is 176839 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 522,8033

GCF of Fractions 522/223,8033/793 is 29/176839

29 522, 8033
18, 277

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 522,8033 By Matching Biggest Common Factor Method

Greatest Common Factor of 522,8033 By Matching Biggest Common Factor Method

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 8033

List of positive integer factors of 8033 that divides 8033 without a remainder.

1,29,277,8033

Greatest Common Factor

We found the factors 522,8033 . The biggest common factor number is the GCF number.
So the greatest common factor 522,8033 is 29.


Lets's calculate LCM of 223,793

Given numbers has no common factors except 1. So, there LCM is their product i.e 176839

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/176839

Therefore, the GCF of Fractions 522/223,8033/793 is 29/176839

Least Common Multiple of 223,793 with GCF Formula

Least Common Multiple of 223,793 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 223,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,793) = 1

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

GCF(223,793) x common factors =1 x 1 = 1

LCM(223,793) = ( 223 × 793 ) / 1

LCM(223,793) = 176839 / 1

LCM(223,793) = 176839


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 522/223, 8033/793

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 522/223, 8033/793?

Answer: GCF of Numerators as per given numbers 522/223, 8033/793 is

GCF of Numerators i.e. for 522,8033 is 29

LCM of denominators i.e. for 223,793 is 176839.

Thus, GCF of Fractions is 29/176839.Finally, GCF of Fractions for 522/223, 8033/793 is 29/176839.