Greatest Common Factor of 71/12, 19/84, 520/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/12, 19/84, 520/313

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 71/12,19/84,520/313

Given fractions are 71/12,19/84,520/313

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 71,19,520

Greatest Common Factor of Numerators i.e. GCF of 71,19,520 is 1 .

LCM of Denominators means LCM of 12,84,313 as per the given fractions.

LCM of 12,84,313 is 26292 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,19,520

GCF of Fractions 71/12,19/84,520/313 is 1/26292

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

Greatest Common Factor of 71,19,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,19,520 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 71,19,520 . The biggest common factor number is the GCF number.
So the greatest common factor 71,19,520 is 1.

Lets's calculate LCM of 12,84,313

2 12, 84, 313
2 6, 42, 313
3 3, 21, 313
1, 7, 313

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 7 x 313 = 26292

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26292

Therefore, the GCF of Fractions 71/12,19/84,520/313 is 1/26292

Least Common Multiple of 12,84,313 with GCF Formula

Least Common Multiple of 12,84,313 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 12,84,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,84,313) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(12,84,313) x common factors =1 x 12 = 12

LCM(12,84,313) = ( 12 × 84 × 313 ) / 12

LCM(12,84,313) = 315504 / 12

LCM(12,84,313) = 26292


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 71/12, 19/84, 520/313

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 71/12, 19/84, 520/313?

Answer: GCF of Numerators as per given numbers 71/12, 19/84, 520/313 is

GCF of Numerators i.e. for 71,19,520 is 1

LCM of denominators i.e. for 12,84,313 is 26292.

Thus, GCF of Fractions is 1/26292.Finally, GCF of Fractions for 71/12, 19/84, 520/313 is 1/26292.