Greatest Common Factor of 68/55, 50/30, 81/86, 58/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/55, 50/30, 81/86, 58/242

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 68/55,50/30,81/86,58/242

Given fractions are 68/55,50/30,81/86,58/242

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 68,50,81,58

Greatest Common Factor of Numerators i.e. GCF of 68,50,81,58 is 1 .

LCM of Denominators means LCM of 55,30,86,242 as per the given fractions.

LCM of 55,30,86,242 is 156090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,50,81,58

GCF of Fractions 68/55,50/30,81/86,58/242 is 1/156090

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

Greatest Common Factor of 68,50,81,58 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,50,81,58 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 81

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

1,3,9,27,81

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Greatest Common Factor

We found the factors 68,50,81,58 . The biggest common factor number is the GCF number.
So the greatest common factor 68,50,81,58 is 1.

Lets's calculate LCM of 55,30,86,242

2 55, 30, 86, 242
5 55, 15, 43, 121
11 11, 3, 43, 121
1, 3, 43, 11

∴ So the LCM of the given numbers is 2 x 5 x 11 x 1 x 3 x 43 x 11 = 156090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156090

Therefore, the GCF of Fractions 68/55,50/30,81/86,58/242 is 1/156090

Least Common Multiple of 55,30,86,242 with GCF Formula

Least Common Multiple of 55,30,86,242 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 55,30,86,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,30,86,242) = 1

common factors(in case of two or more numbers have common factors) = 220

GCF(55,30,86,242) x common factors =1 x 220 = 220

LCM(55,30,86,242) = ( 55 × 30 × 86 × 242 ) / 220

LCM(55,30,86,242) = 34339800 / 220

LCM(55,30,86,242) = 156090


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 68/55, 50/30, 81/86, 58/242

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 68/55, 50/30, 81/86, 58/242?

Answer: GCF of Numerators as per given numbers 68/55, 50/30, 81/86, 58/242 is

GCF of Numerators i.e. for 68,50,81,58 is 1

LCM of denominators i.e. for 55,30,86,242 is 156090.

Thus, GCF of Fractions is 1/156090.Finally, GCF of Fractions for 68/55, 50/30, 81/86, 58/242 is 1/156090.