Greatest Common Factor of 813/571, 798/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 813/571, 798/896

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 813/571,798/896

Given fractions are 813/571,798/896

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 813,798

Greatest Common Factor of Numerators i.e. GCF of 813,798 is 3 .

LCM of Denominators means LCM of 571,896 as per the given fractions.

LCM of 571,896 is 511616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 813,798

GCF of Fractions 813/571,798/896 is 3/511616

3 813, 798
271, 266

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 813,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 813,798 By Matching Biggest Common Factor Method

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 813,798 . The biggest common factor number is the GCF number.
So the greatest common factor 813,798 is 3.

Lets's calculate LCM of 571,896

Given numbers has no common factors except 1. So, there LCM is their product i.e 511616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/511616

Therefore, the GCF of Fractions 813/571,798/896 is 3/511616

Least Common Multiple of 571,896 with GCF Formula

Least Common Multiple of 571,896 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 571,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(571,896) = 1

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

GCF(571,896) x common factors =1 x 1 = 1

LCM(571,896) = ( 571 × 896 ) / 1

LCM(571,896) = 511616 / 1

LCM(571,896) = 511616


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 813/571, 798/896

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 813/571, 798/896?

Answer: GCF of Numerators as per given numbers 813/571, 798/896 is

GCF of Numerators i.e. for 813,798 is 3

LCM of denominators i.e. for 571,896 is 511616.

Thus, GCF of Fractions is 3/511616.Finally, GCF of Fractions for 813/571, 798/896 is 3/511616.