Greatest Common Factor of 833/298, 514/913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 833/298, 514/913

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 833/298,514/913

Given fractions are 833/298,514/913

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 833,514

Greatest Common Factor of Numerators i.e. GCF of 833,514 is 1 .

LCM of Denominators means LCM of 298,913 as per the given fractions.

LCM of 298,913 is 272074 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 833,514

GCF of Fractions 833/298,514/913 is 1/272074

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

Greatest Common Factor of 833,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 833,514 By Matching Biggest Common Factor Method

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 833,514 . The biggest common factor number is the GCF number.
So the greatest common factor 833,514 is 1.

Lets's calculate LCM of 298,913

Given numbers has no common factors except 1. So, there LCM is their product i.e 272074

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/272074

Therefore, the GCF of Fractions 833/298,514/913 is 1/272074

Least Common Multiple of 298,913 with GCF Formula

Least Common Multiple of 298,913 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 298,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,913) = 1

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

GCF(298,913) x common factors =1 x 1 = 1

LCM(298,913) = ( 298 × 913 ) / 1

LCM(298,913) = 272074 / 1

LCM(298,913) = 272074


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 833/298, 514/913

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 833/298, 514/913?

Answer: GCF of Numerators as per given numbers 833/298, 514/913 is

GCF of Numerators i.e. for 833,514 is 1

LCM of denominators i.e. for 298,913 is 272074.

Thus, GCF of Fractions is 1/272074.Finally, GCF of Fractions for 833/298, 514/913 is 1/272074.