Greatest Common Factor of 81/348, 76/377, 317/193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 81/348, 76/377, 317/193

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 81/348,76/377,317/193

Given fractions are 81/348,76/377,317/193

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 81,76,317

Greatest Common Factor of Numerators i.e. GCF of 81,76,317 is 1 .

LCM of Denominators means LCM of 348,377,193 as per the given fractions.

LCM of 348,377,193 is 873132 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 81,76,317

GCF of Fractions 81/348,76/377,317/193 is 1/873132

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

Greatest Common Factor of 81,76,317 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,76,317 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 76

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

1,2,4,19,38,76

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Greatest Common Factor

We found the factors 81,76,317 . The biggest common factor number is the GCF number.
So the greatest common factor 81,76,317 is 1.

Lets's calculate LCM of 348,377,193

29 348, 377, 193
12, 13, 193

∴ So the LCM of the given numbers is 29 x 12 x 13 x 193 = 873132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/873132

Therefore, the GCF of Fractions 81/348,76/377,317/193 is 1/873132

Least Common Multiple of 348,377,193 with GCF Formula

Least Common Multiple of 348,377,193 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 348,377,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,377,193) = 1

common factors(in case of two or more numbers have common factors) = 29

GCF(348,377,193) x common factors =1 x 29 = 29

LCM(348,377,193) = ( 348 × 377 × 193 ) / 29

LCM(348,377,193) = 25320828 / 29

LCM(348,377,193) = 873132


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 81/348, 76/377, 317/193

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 81/348, 76/377, 317/193?

Answer: GCF of Numerators as per given numbers 81/348, 76/377, 317/193 is

GCF of Numerators i.e. for 81,76,317 is 1

LCM of denominators i.e. for 348,377,193 is 873132.

Thus, GCF of Fractions is 1/873132.Finally, GCF of Fractions for 81/348, 76/377, 317/193 is 1/873132.