Greatest Common Factor of 851/655, 263/311, 263/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 851/655, 263/311, 263/204

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 851/655,263/311,263/204

Given fractions are 851/655,263/311,263/204

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 851,263,263

Greatest Common Factor of Numerators i.e. GCF of 851,263,263 is 1 .

LCM of Denominators means LCM of 655,311,204 as per the given fractions.

LCM of 655,311,204 is 41555820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 851,263,263

GCF of Fractions 851/655,263/311,263/204 is 1/41555820

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

Greatest Common Factor of 851,263,263 By Matching Biggest Common Factor Method

Greatest Common Factor of 851,263,263 By Matching Biggest Common Factor Method

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Greatest Common Factor

We found the factors 851,263,263 . The biggest common factor number is the GCF number.
So the greatest common factor 851,263,263 is 1.


Lets's calculate LCM of 655,311,204

Given numbers has no common factors except 1. So, there LCM is their product i.e 41555820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41555820

Therefore, the GCF of Fractions 851/655,263/311,263/204 is 1/41555820

Least Common Multiple of 655,311,204 with GCF Formula

Least Common Multiple of 655,311,204 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 655,311,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(655,311,204) = 1

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

GCF(655,311,204) x common factors =1 x 1 = 1

LCM(655,311,204) = ( 655 × 311 × 204 ) / 1

LCM(655,311,204) = 41555820 / 1

LCM(655,311,204) = 41555820


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 851/655, 263/311, 263/204

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 851/655, 263/311, 263/204?

Answer: GCF of Numerators as per given numbers 851/655, 263/311, 263/204 is

GCF of Numerators i.e. for 851,263,263 is 1

LCM of denominators i.e. for 655,311,204 is 41555820.

Thus, GCF of Fractions is 1/41555820.Finally, GCF of Fractions for 851/655, 263/311, 263/204 is 1/41555820.