Greatest Common Factor of 88/87, 82/81, 204/401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 88/87, 82/81, 204/401

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 88/87,82/81,204/401

Given fractions are 88/87,82/81,204/401

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 88,82,204

Greatest Common Factor of Numerators i.e. GCF of 88,82,204 is 2 .

LCM of Denominators means LCM of 87,81,401 as per the given fractions.

LCM of 87,81,401 is 941949 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 88,82,204

GCF of Fractions 88/87,82/81,204/401 is 2/941949

2 88, 82, 204
44, 41, 102

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 88,82,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,82,204 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 88,82,204 . The biggest common factor number is the GCF number.
So the greatest common factor 88,82,204 is 2.

Lets's calculate LCM of 87,81,401

3 87, 81, 401
29, 27, 401

∴ So the LCM of the given numbers is 3 x 29 x 27 x 401 = 941949

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/941949

Therefore, the GCF of Fractions 88/87,82/81,204/401 is 2/941949

Least Common Multiple of 87,81,401 with GCF Formula

Least Common Multiple of 87,81,401 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 87,81,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,81,401) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(87,81,401) x common factors =1 x 3 = 3

LCM(87,81,401) = ( 87 × 81 × 401 ) / 3

LCM(87,81,401) = 2825847 / 3

LCM(87,81,401) = 941949


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 88/87, 82/81, 204/401

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 88/87, 82/81, 204/401?

Answer: GCF of Numerators as per given numbers 88/87, 82/81, 204/401 is

GCF of Numerators i.e. for 88,82,204 is 2

LCM of denominators i.e. for 87,81,401 is 941949.

Thus, GCF of Fractions is 2/941949.Finally, GCF of Fractions for 88/87, 82/81, 204/401 is 2/941949.