Greatest Common Factor of 1391/19, 3210/393

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1391/19, 3210/393

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 1391/19,3210/393

Given fractions are 1391/19,3210/393

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 1391,3210

Greatest Common Factor of Numerators i.e. GCF of 1391,3210 is 107 .

LCM of Denominators means LCM of 19,393 as per the given fractions.

LCM of 19,393 is 7467 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1391,3210

GCF of Fractions 1391/19,3210/393 is 107/7467

107 1391, 3210
13, 30

∴ So the GCF of the given numbers is 107 = 107

Greatest Common Factor of 1391,3210 By Matching Biggest Common Factor Method

Greatest Common Factor of 1391,3210 By Matching Biggest Common Factor Method

Factors of 1391

List of positive integer factors of 1391 that divides 1391 without a remainder.

1,13,107,1391

Factors of 3210

List of positive integer factors of 3210 that divides 3210 without a remainder.

1,2,3,5,6,10,15,30,107,214,321,535,642,1070,1605,3210

Greatest Common Factor

We found the factors 1391,3210 . The biggest common factor number is the GCF number.
So the greatest common factor 1391,3210 is 107.

Lets's calculate LCM of 19,393

Given numbers has no common factors except 1. So, there LCM is their product i.e 7467

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 107/7467

Therefore, the GCF of Fractions 1391/19,3210/393 is 107/7467

Least Common Multiple of 19,393 with GCF Formula

Least Common Multiple of 19,393 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 19,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,393) = 1

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

GCF(19,393) x common factors =1 x 1 = 1

LCM(19,393) = ( 19 × 393 ) / 1

LCM(19,393) = 7467 / 1

LCM(19,393) = 7467


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 1391/19, 3210/393

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 1391/19, 3210/393?

Answer: GCF of Numerators as per given numbers 1391/19, 3210/393 is

GCF of Numerators i.e. for 1391,3210 is 107

LCM of denominators i.e. for 19,393 is 7467.

Thus, GCF of Fractions is 107/7467.Finally, GCF of Fractions for 1391/19, 3210/393 is 107/7467.