Greatest Common Factor of 81/234, 535/440, 421/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 81/234, 535/440, 421/286

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 81/234,535/440,421/286

Given fractions are 81/234,535/440,421/286

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 81,535,421

Greatest Common Factor of Numerators i.e. GCF of 81,535,421 is 1 .

LCM of Denominators means LCM of 234,440,286 as per the given fractions.

LCM of 234,440,286 is 51480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 81,535,421

GCF of Fractions 81/234,535/440,421/286 is 1/51480

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

Greatest Common Factor of 81,535,421 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,535,421 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Greatest Common Factor

We found the factors 81,535,421 . The biggest common factor number is the GCF number.
So the greatest common factor 81,535,421 is 1.

Lets's calculate LCM of 234,440,286

2 234, 440, 286
11 117, 220, 143
13 117, 20, 13
9, 20, 1

∴ So the LCM of the given numbers is 2 x 11 x 13 x 9 x 20 x 1 = 51480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51480

Therefore, the GCF of Fractions 81/234,535/440,421/286 is 1/51480

Least Common Multiple of 234,440,286 with GCF Formula

Least Common Multiple of 234,440,286 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 234,440,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,440,286) = 2

common factors(in case of two or more numbers have common factors) = 286

GCF(234,440,286) x common factors =2 x 286 = 572

LCM(234,440,286) = ( 234 × 440 × 286 ) / 572

LCM(234,440,286) = 29446560 / 572

LCM(234,440,286) = 51480


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 81/234, 535/440, 421/286

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 81/234, 535/440, 421/286?

Answer: GCF of Numerators as per given numbers 81/234, 535/440, 421/286 is

GCF of Numerators i.e. for 81,535,421 is 1

LCM of denominators i.e. for 234,440,286 is 51480.

Thus, GCF of Fractions is 1/51480.Finally, GCF of Fractions for 81/234, 535/440, 421/286 is 1/51480.