Greatest Common Factor of 499/798, 522/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 499/798, 522/294

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 499/798,522/294

Given fractions are 499/798,522/294

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 499,522

Greatest Common Factor of Numerators i.e. GCF of 499,522 is 1 .

LCM of Denominators means LCM of 798,294 as per the given fractions.

LCM of 798,294 is 5586 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 499,522

GCF of Fractions 499/798,522/294 is 1/5586

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

Greatest Common Factor of 499,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 499,522 By Matching Biggest Common Factor Method

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

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

Greatest Common Factor

We found the factors 499,522 . The biggest common factor number is the GCF number.
So the greatest common factor 499,522 is 1.

Lets's calculate LCM of 798,294

2 798, 294
3 399, 147
7 133, 49
19, 7

∴ So the LCM of the given numbers is 2 x 3 x 7 x 19 x 7 = 5586

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5586

Therefore, the GCF of Fractions 499/798,522/294 is 1/5586

Least Common Multiple of 798,294 with GCF Formula

Least Common Multiple of 798,294 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 798,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,294) = 42

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

GCF(798,294) x common factors =42 x 1 = 42

LCM(798,294) = ( 798 × 294 ) / 42

LCM(798,294) = 234612 / 42

LCM(798,294) = 5586


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 499/798, 522/294

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 499/798, 522/294?

Answer: GCF of Numerators as per given numbers 499/798, 522/294 is

GCF of Numerators i.e. for 499,522 is 1

LCM of denominators i.e. for 798,294 is 5586.

Thus, GCF of Fractions is 1/5586.Finally, GCF of Fractions for 499/798, 522/294 is 1/5586.