Greatest Common Factor of 14/271, 775/322, 270/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/271, 775/322, 270/522

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 14/271,775/322,270/522

Given fractions are 14/271,775/322,270/522

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 14,775,270

Greatest Common Factor of Numerators i.e. GCF of 14,775,270 is 1 .

LCM of Denominators means LCM of 271,322,522 as per the given fractions.

LCM of 271,322,522 is 22775382 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,775,270

GCF of Fractions 14/271,775/322,270/522 is 1/22775382

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

Greatest Common Factor of 14,775,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,775,270 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 14,775,270 . The biggest common factor number is the GCF number.
So the greatest common factor 14,775,270 is 1.

Lets's calculate LCM of 271,322,522

2 271, 322, 522
271, 161, 261

∴ So the LCM of the given numbers is 2 x 271 x 161 x 261 = 22775382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22775382

Therefore, the GCF of Fractions 14/271,775/322,270/522 is 1/22775382

Least Common Multiple of 271,322,522 with GCF Formula

Least Common Multiple of 271,322,522 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 271,322,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,322,522) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(271,322,522) x common factors =1 x 2 = 2

LCM(271,322,522) = ( 271 × 322 × 522 ) / 2

LCM(271,322,522) = 45550764 / 2

LCM(271,322,522) = 22775382


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 14/271, 775/322, 270/522

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 14/271, 775/322, 270/522?

Answer: GCF of Numerators as per given numbers 14/271, 775/322, 270/522 is

GCF of Numerators i.e. for 14,775,270 is 1

LCM of denominators i.e. for 271,322,522 is 22775382.

Thus, GCF of Fractions is 1/22775382.Finally, GCF of Fractions for 14/271, 775/322, 270/522 is 1/22775382.