Greatest Common Factor of 106/228, 287/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 106/228, 287/185

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 106/228,287/185

Given fractions are 106/228,287/185

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 106,287

Greatest Common Factor of Numerators i.e. GCF of 106,287 is 1 .

LCM of Denominators means LCM of 228,185 as per the given fractions.

LCM of 228,185 is 42180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 106,287

GCF of Fractions 106/228,287/185 is 1/42180

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

Greatest Common Factor of 106,287 By Matching Biggest Common Factor Method

Greatest Common Factor of 106,287 By Matching Biggest Common Factor Method

Factors of 106

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

1,2,53,106

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Greatest Common Factor

We found the factors 106,287 . The biggest common factor number is the GCF number.
So the greatest common factor 106,287 is 1.

Lets's calculate LCM of 228,185

Given numbers has no common factors except 1. So, there LCM is their product i.e 42180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42180

Therefore, the GCF of Fractions 106/228,287/185 is 1/42180

Least Common Multiple of 228,185 with GCF Formula

Least Common Multiple of 228,185 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 228,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,185) = 1

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

GCF(228,185) x common factors =1 x 1 = 1

LCM(228,185) = ( 228 × 185 ) / 1

LCM(228,185) = 42180 / 1

LCM(228,185) = 42180


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 106/228, 287/185

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 106/228, 287/185?

Answer: GCF of Numerators as per given numbers 106/228, 287/185 is

GCF of Numerators i.e. for 106,287 is 1

LCM of denominators i.e. for 228,185 is 42180.

Thus, GCF of Fractions is 1/42180.Finally, GCF of Fractions for 106/228, 287/185 is 1/42180.