Greatest Common Factor of 127/44, 8309/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 127/44, 8309/190

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 127/44,8309/190

Given fractions are 127/44,8309/190

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 127,8309

Greatest Common Factor of Numerators i.e. GCF of 127,8309 is 1 .

LCM of Denominators means LCM of 44,190 as per the given fractions.

LCM of 44,190 is 4180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 127,8309

GCF of Fractions 127/44,8309/190 is 1/4180

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

Greatest Common Factor of 127,8309 By Matching Biggest Common Factor Method

Greatest Common Factor of 127,8309 By Matching Biggest Common Factor Method

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1,127

Factors of 8309

List of positive integer factors of 8309 that divides 8309 without a remainder.

1,7,1187,8309

Greatest Common Factor

We found the factors 127,8309 . The biggest common factor number is the GCF number.
So the greatest common factor 127,8309 is 1.

Lets's calculate LCM of 44,190

2 44, 190
22, 95

∴ So the LCM of the given numbers is 2 x 22 x 95 = 4180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4180

Therefore, the GCF of Fractions 127/44,8309/190 is 1/4180

Least Common Multiple of 44,190 with GCF Formula

Least Common Multiple of 44,190 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 44,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,190) = 2

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

GCF(44,190) x common factors =2 x 1 = 2

LCM(44,190) = ( 44 × 190 ) / 2

LCM(44,190) = 8360 / 2

LCM(44,190) = 4180


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 127/44, 8309/190

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 127/44, 8309/190?

Answer: GCF of Numerators as per given numbers 127/44, 8309/190 is

GCF of Numerators i.e. for 127,8309 is 1

LCM of denominators i.e. for 44,190 is 4180.

Thus, GCF of Fractions is 1/4180.Finally, GCF of Fractions for 127/44, 8309/190 is 1/4180.