Greatest Common Factor of 76/26, 11/20, 403/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 76/26, 11/20, 403/271

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 76/26,11/20,403/271

Given fractions are 76/26,11/20,403/271

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 76,11,403

Greatest Common Factor of Numerators i.e. GCF of 76,11,403 is 1 .

LCM of Denominators means LCM of 26,20,271 as per the given fractions.

LCM of 26,20,271 is 70460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 76,11,403

GCF of Fractions 76/26,11/20,403/271 is 1/70460

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

Greatest Common Factor of 76,11,403 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,11,403 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Greatest Common Factor

We found the factors 76,11,403 . The biggest common factor number is the GCF number.
So the greatest common factor 76,11,403 is 1.

Lets's calculate LCM of 26,20,271

2 26, 20, 271
13, 10, 271

∴ So the LCM of the given numbers is 2 x 13 x 10 x 271 = 70460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70460

Therefore, the GCF of Fractions 76/26,11/20,403/271 is 1/70460

Least Common Multiple of 26,20,271 with GCF Formula

Least Common Multiple of 26,20,271 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 26,20,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,20,271) = 1

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

GCF(26,20,271) x common factors =1 x 2 = 2

LCM(26,20,271) = ( 26 × 20 × 271 ) / 2

LCM(26,20,271) = 140920 / 2

LCM(26,20,271) = 70460


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 76/26, 11/20, 403/271

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 76/26, 11/20, 403/271?

Answer: GCF of Numerators as per given numbers 76/26, 11/20, 403/271 is

GCF of Numerators i.e. for 76,11,403 is 1

LCM of denominators i.e. for 26,20,271 is 70460.

Thus, GCF of Fractions is 1/70460.Finally, GCF of Fractions for 76/26, 11/20, 403/271 is 1/70460.