Greatest Common Factor of 811/40, 221/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 811/40, 221/524

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 811/40,221/524

Given fractions are 811/40,221/524

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 811,221

Greatest Common Factor of Numerators i.e. GCF of 811,221 is 1 .

LCM of Denominators means LCM of 40,524 as per the given fractions.

LCM of 40,524 is 5240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 811,221

GCF of Fractions 811/40,221/524 is 1/5240

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

Greatest Common Factor of 811,221 By Matching Biggest Common Factor Method

Greatest Common Factor of 811,221 By Matching Biggest Common Factor Method

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1,811

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Greatest Common Factor

We found the factors 811,221 . The biggest common factor number is the GCF number.
So the greatest common factor 811,221 is 1.

Lets's calculate LCM of 40,524

2 40, 524
2 20, 262
10, 131

∴ So the LCM of the given numbers is 2 x 2 x 10 x 131 = 5240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5240

Therefore, the GCF of Fractions 811/40,221/524 is 1/5240

Least Common Multiple of 40,524 with GCF Formula

Least Common Multiple of 40,524 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 40,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,524) = 4

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

GCF(40,524) x common factors =4 x 1 = 4

LCM(40,524) = ( 40 × 524 ) / 4

LCM(40,524) = 20960 / 4

LCM(40,524) = 5240


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 811/40, 221/524

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 811/40, 221/524?

Answer: GCF of Numerators as per given numbers 811/40, 221/524 is

GCF of Numerators i.e. for 811,221 is 1

LCM of denominators i.e. for 40,524 is 5240.

Thus, GCF of Fractions is 1/5240.Finally, GCF of Fractions for 811/40, 221/524 is 1/5240.