Greatest Common Factor of 271/26, 502/58, 109/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 271/26, 502/58, 109/221

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 271/26,502/58,109/221

Given fractions are 271/26,502/58,109/221

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 271,502,109

Greatest Common Factor of Numerators i.e. GCF of 271,502,109 is 1 .

LCM of Denominators means LCM of 26,58,221 as per the given fractions.

LCM of 26,58,221 is 12818 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 271,502,109

GCF of Fractions 271/26,502/58,109/221 is 1/12818

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

Greatest Common Factor of 271,502,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 271,502,109 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 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors 271,502,109 . The biggest common factor number is the GCF number.
So the greatest common factor 271,502,109 is 1.

Lets's calculate LCM of 26,58,221

2 26, 58, 221
13 13, 29, 221
1, 29, 17

∴ So the LCM of the given numbers is 2 x 13 x 1 x 29 x 17 = 12818

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12818

Therefore, the GCF of Fractions 271/26,502/58,109/221 is 1/12818

Least Common Multiple of 26,58,221 with GCF Formula

Least Common Multiple of 26,58,221 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 26,58,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,58,221) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(26,58,221) x common factors =1 x 26 = 26

LCM(26,58,221) = ( 26 × 58 × 221 ) / 26

LCM(26,58,221) = 333268 / 26

LCM(26,58,221) = 12818


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 271/26, 502/58, 109/221

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 271/26, 502/58, 109/221?

Answer: GCF of Numerators as per given numbers 271/26, 502/58, 109/221 is

GCF of Numerators i.e. for 271,502,109 is 1

LCM of denominators i.e. for 26,58,221 is 12818.

Thus, GCF of Fractions is 1/12818.Finally, GCF of Fractions for 271/26, 502/58, 109/221 is 1/12818.