Greatest Common Factor of 813/428, 271/411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 813/428, 271/411

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 813/428,271/411

Given fractions are 813/428,271/411

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 813,271

Greatest Common Factor of Numerators i.e. GCF of 813,271 is 271 .

LCM of Denominators means LCM of 428,411 as per the given fractions.

LCM of 428,411 is 175908 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 813,271

GCF of Fractions 813/428,271/411 is 271/175908

271 813, 271
3, 1

∴ So the GCF of the given numbers is 271 = 271

Greatest Common Factor of 813,271 By Matching Biggest Common Factor Method

Greatest Common Factor of 813,271 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 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Greatest Common Factor

We found the factors 813,271 . The biggest common factor number is the GCF number.
So the greatest common factor 813,271 is 271.

Lets's calculate LCM of 428,411

Given numbers has no common factors except 1. So, there LCM is their product i.e 175908

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 271/175908

Therefore, the GCF of Fractions 813/428,271/411 is 271/175908

Least Common Multiple of 428,411 with GCF Formula

Least Common Multiple of 428,411 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 428,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,411) = 1

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

GCF(428,411) x common factors =1 x 1 = 1

LCM(428,411) = ( 428 × 411 ) / 1

LCM(428,411) = 175908 / 1

LCM(428,411) = 175908


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 813/428, 271/411

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 813/428, 271/411?

Answer: GCF of Numerators as per given numbers 813/428, 271/411 is

GCF of Numerators i.e. for 813,271 is 271

LCM of denominators i.e. for 428,411 is 175908.

Thus, GCF of Fractions is 271/175908.Finally, GCF of Fractions for 813/428, 271/411 is 271/175908.