Greatest Common Factor of 85/459, 281/843, 438/843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 85/459, 281/843, 438/843

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 85/459,281/843,438/843

Given fractions are 85/459,281/843,438/843

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 85,281,438

Greatest Common Factor of Numerators i.e. GCF of 85,281,438 is 1 .

LCM of Denominators means LCM of 459,843,843 as per the given fractions.

LCM of 459,843,843 is 128979 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 85,281,438

GCF of Fractions 85/459,281/843,438/843 is 1/128979

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

Greatest Common Factor of 85,281,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,281,438 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 85,281,438 . The biggest common factor number is the GCF number.
So the greatest common factor 85,281,438 is 1.

Lets's calculate LCM of 459,843,843

3 459, 843, 843
281 153, 281, 281
153, 1, 1

∴ So the LCM of the given numbers is 3 x 281 x 153 x 1 x 1 = 128979

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128979

Therefore, the GCF of Fractions 85/459,281/843,438/843 is 1/128979

Least Common Multiple of 459,843,843 with GCF Formula

Least Common Multiple of 459,843,843 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 459,843,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(459,843,843) = 3

common factors(in case of two or more numbers have common factors) = 843

GCF(459,843,843) x common factors =3 x 843 = 2529

LCM(459,843,843) = ( 459 × 843 × 843 ) / 2529

LCM(459,843,843) = 326187891 / 2529

LCM(459,843,843) = 128979


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 85/459, 281/843, 438/843

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 85/459, 281/843, 438/843?

Answer: GCF of Numerators as per given numbers 85/459, 281/843, 438/843 is

GCF of Numerators i.e. for 85,281,438 is 1

LCM of denominators i.e. for 459,843,843 is 128979.

Thus, GCF of Fractions is 1/128979.Finally, GCF of Fractions for 85/459, 281/843, 438/843 is 1/128979.