Greatest Common Factor of 1417/11, 1339/191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1417/11, 1339/191

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 1417/11,1339/191

Given fractions are 1417/11,1339/191

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 1417,1339

Greatest Common Factor of Numerators i.e. GCF of 1417,1339 is 13 .

LCM of Denominators means LCM of 11,191 as per the given fractions.

LCM of 11,191 is 2101 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1417,1339

GCF of Fractions 1417/11,1339/191 is 13/2101

13 1417, 1339
109, 103

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 1417,1339 By Matching Biggest Common Factor Method

Greatest Common Factor of 1417,1339 By Matching Biggest Common Factor Method

Factors of 1417

List of positive integer factors of 1417 that divides 1417 without a remainder.

1,13,109,1417

Factors of 1339

List of positive integer factors of 1339 that divides 1339 without a remainder.

1,13,103,1339

Greatest Common Factor

We found the factors 1417,1339 . The biggest common factor number is the GCF number.
So the greatest common factor 1417,1339 is 13.

Lets's calculate LCM of 11,191

Given numbers has no common factors except 1. So, there LCM is their product i.e 2101

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2101

Therefore, the GCF of Fractions 1417/11,1339/191 is 13/2101

Least Common Multiple of 11,191 with GCF Formula

Least Common Multiple of 11,191 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 11,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,191) = 1

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

GCF(11,191) x common factors =1 x 1 = 1

LCM(11,191) = ( 11 × 191 ) / 1

LCM(11,191) = 2101 / 1

LCM(11,191) = 2101


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 1417/11, 1339/191

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 1417/11, 1339/191?

Answer: GCF of Numerators as per given numbers 1417/11, 1339/191 is

GCF of Numerators i.e. for 1417,1339 is 13

LCM of denominators i.e. for 11,191 is 2101.

Thus, GCF of Fractions is 13/2101.Finally, GCF of Fractions for 1417/11, 1339/191 is 13/2101.