Greatest Common Factor of 31/351, 55/261, 196/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 31/351, 55/261, 196/366

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 31/351,55/261,196/366

Given fractions are 31/351,55/261,196/366

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 31,55,196

Greatest Common Factor of Numerators i.e. GCF of 31,55,196 is 1 .

LCM of Denominators means LCM of 351,261,366 as per the given fractions.

LCM of 351,261,366 is 1241838 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 31,55,196

GCF of Fractions 31/351,55/261,196/366 is 1/1241838

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

Greatest Common Factor of 31,55,196 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,55,196 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Greatest Common Factor

We found the factors 31,55,196 . The biggest common factor number is the GCF number.
So the greatest common factor 31,55,196 is 1.

Lets's calculate LCM of 351,261,366

3 351, 261, 366
3 117, 87, 122
39, 29, 122

∴ So the LCM of the given numbers is 3 x 3 x 39 x 29 x 122 = 1241838

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1241838

Therefore, the GCF of Fractions 31/351,55/261,196/366 is 1/1241838

Least Common Multiple of 351,261,366 with GCF Formula

Least Common Multiple of 351,261,366 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 351,261,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(351,261,366) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(351,261,366) x common factors =3 x 9 = 27

LCM(351,261,366) = ( 351 × 261 × 366 ) / 27

LCM(351,261,366) = 33529626 / 27

LCM(351,261,366) = 1241838


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 31/351, 55/261, 196/366

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 31/351, 55/261, 196/366?

Answer: GCF of Numerators as per given numbers 31/351, 55/261, 196/366 is

GCF of Numerators i.e. for 31,55,196 is 1

LCM of denominators i.e. for 351,261,366 is 1241838.

Thus, GCF of Fractions is 1/1241838.Finally, GCF of Fractions for 31/351, 55/261, 196/366 is 1/1241838.