Greatest Common Factor of 27/55, 14/65, 22/11, 102/45

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/55, 14/65, 22/11, 102/45

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 27/55,14/65,22/11,102/45

Given fractions are 27/55,14/65,22/11,102/45

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 27,14,22,102

Greatest Common Factor of Numerators i.e. GCF of 27,14,22,102 is 1 .

LCM of Denominators means LCM of 55,65,11,45 as per the given fractions.

LCM of 55,65,11,45 is 6435 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,14,22,102

GCF of Fractions 27/55,14/65,22/11,102/45 is 1/6435

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

Greatest Common Factor of 27,14,22,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,14,22,102 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 27,14,22,102 . The biggest common factor number is the GCF number.
So the greatest common factor 27,14,22,102 is 1.

Lets's calculate LCM of 55,65,11,45

5 55, 65, 11, 45
11 11, 13, 11, 9
1, 13, 1, 9

∴ So the LCM of the given numbers is 5 x 11 x 1 x 13 x 1 x 9 = 6435

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6435

Therefore, the GCF of Fractions 27/55,14/65,22/11,102/45 is 1/6435

Least Common Multiple of 55,65,11,45 with GCF Formula

Least Common Multiple of 55,65,11,45 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 55,65,11,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,65,11,45) = 1

common factors(in case of two or more numbers have common factors) = 275

GCF(55,65,11,45) x common factors =1 x 275 = 275

LCM(55,65,11,45) = ( 55 × 65 × 11 × 45 ) / 275

LCM(55,65,11,45) = 1769625 / 275

LCM(55,65,11,45) = 6435


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 27/55, 14/65, 22/11, 102/45

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 27/55, 14/65, 22/11, 102/45?

Answer: GCF of Numerators as per given numbers 27/55, 14/65, 22/11, 102/45 is

GCF of Numerators i.e. for 27,14,22,102 is 1

LCM of denominators i.e. for 55,65,11,45 is 6435.

Thus, GCF of Fractions is 1/6435.Finally, GCF of Fractions for 27/55, 14/65, 22/11, 102/45 is 1/6435.