Greatest Common Factor of 811/78, 100/17, 310/81

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 811/78, 100/17, 310/81

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 811/78,100/17,310/81

Given fractions are 811/78,100/17,310/81

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 811,100,310

Greatest Common Factor of Numerators i.e. GCF of 811,100,310 is 1 .

LCM of Denominators means LCM of 78,17,81 as per the given fractions.

LCM of 78,17,81 is 35802 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 811,100,310

GCF of Fractions 811/78,100/17,310/81 is 1/35802

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

Greatest Common Factor of 811,100,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 811,100,310 By Matching Biggest Common Factor Method

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1,811

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 811,100,310 . The biggest common factor number is the GCF number.
So the greatest common factor 811,100,310 is 1.

Lets's calculate LCM of 78,17,81

3 78, 17, 81
26, 17, 27

∴ So the LCM of the given numbers is 3 x 26 x 17 x 27 = 35802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35802

Therefore, the GCF of Fractions 811/78,100/17,310/81 is 1/35802

Least Common Multiple of 78,17,81 with GCF Formula

Least Common Multiple of 78,17,81 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 78,17,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,17,81) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(78,17,81) x common factors =1 x 3 = 3

LCM(78,17,81) = ( 78 × 17 × 81 ) / 3

LCM(78,17,81) = 107406 / 3

LCM(78,17,81) = 35802


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 811/78, 100/17, 310/81

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 811/78, 100/17, 310/81?

Answer: GCF of Numerators as per given numbers 811/78, 100/17, 310/81 is

GCF of Numerators i.e. for 811,100,310 is 1

LCM of denominators i.e. for 78,17,81 is 35802.

Thus, GCF of Fractions is 1/35802.Finally, GCF of Fractions for 811/78, 100/17, 310/81 is 1/35802.