Greatest Common Factor of 271/75, 7210/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 271/75, 7210/406

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 271/75,7210/406

Given fractions are 271/75,7210/406

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 271,7210

Greatest Common Factor of Numerators i.e. GCF of 271,7210 is 1 .

LCM of Denominators means LCM of 75,406 as per the given fractions.

LCM of 75,406 is 30450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 271,7210

GCF of Fractions 271/75,7210/406 is 1/30450

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

Greatest Common Factor of 271,7210 By Matching Biggest Common Factor Method

Greatest Common Factor of 271,7210 By Matching Biggest Common Factor Method

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 7210

List of positive integer factors of 7210 that divides 7210 without a remainder.

1,2,5,7,10,14,35,70,103,206,515,721,1030,1442,3605,7210

Greatest Common Factor

We found the factors 271,7210 . The biggest common factor number is the GCF number.
So the greatest common factor 271,7210 is 1.

Lets's calculate LCM of 75,406

Given numbers has no common factors except 1. So, there LCM is their product i.e 30450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30450

Therefore, the GCF of Fractions 271/75,7210/406 is 1/30450

Least Common Multiple of 75,406 with GCF Formula

Least Common Multiple of 75,406 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 75,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,406) = 1

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

GCF(75,406) x common factors =1 x 1 = 1

LCM(75,406) = ( 75 × 406 ) / 1

LCM(75,406) = 30450 / 1

LCM(75,406) = 30450


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 271/75, 7210/406

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 271/75, 7210/406?

Answer: GCF of Numerators as per given numbers 271/75, 7210/406 is

GCF of Numerators i.e. for 271,7210 is 1

LCM of denominators i.e. for 75,406 is 30450.

Thus, GCF of Fractions is 1/30450.Finally, GCF of Fractions for 271/75, 7210/406 is 1/30450.