Greatest Common Factor of 27/58, 106/27, 248/845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/58, 106/27, 248/845

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 27/58,106/27,248/845

Given fractions are 27/58,106/27,248/845

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 27,106,248

Greatest Common Factor of Numerators i.e. GCF of 27,106,248 is 1 .

LCM of Denominators means LCM of 58,27,845 as per the given fractions.

LCM of 58,27,845 is 1323270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,106,248

GCF of Fractions 27/58,106/27,248/845 is 1/1323270

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

Greatest Common Factor of 27,106,248 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,106,248 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 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Greatest Common Factor

We found the factors 27,106,248 . The biggest common factor number is the GCF number.
So the greatest common factor 27,106,248 is 1.

Lets's calculate LCM of 58,27,845

Given numbers has no common factors except 1. So, there LCM is their product i.e 1323270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1323270

Therefore, the GCF of Fractions 27/58,106/27,248/845 is 1/1323270

Least Common Multiple of 58,27,845 with GCF Formula

Least Common Multiple of 58,27,845 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 58,27,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,27,845) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(58,27,845) x common factors =1 x 1 = 1

LCM(58,27,845) = ( 58 × 27 × 845 ) / 1

LCM(58,27,845) = 1323270 / 1

LCM(58,27,845) = 1323270


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 27/58, 106/27, 248/845

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 27/58, 106/27, 248/845?

Answer: GCF of Numerators as per given numbers 27/58, 106/27, 248/845 is

GCF of Numerators i.e. for 27,106,248 is 1

LCM of denominators i.e. for 58,27,845 is 1323270.

Thus, GCF of Fractions is 1/1323270.Finally, GCF of Fractions for 27/58, 106/27, 248/845 is 1/1323270.