Greatest Common Factor of 1326/364, 4394/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1326/364, 4394/523

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 1326/364,4394/523

Given fractions are 1326/364,4394/523

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 1326,4394

Greatest Common Factor of Numerators i.e. GCF of 1326,4394 is 26 .

LCM of Denominators means LCM of 364,523 as per the given fractions.

LCM of 364,523 is 190372 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1326,4394

GCF of Fractions 1326/364,4394/523 is 26/190372

2 1326, 4394
13 663, 2197
51, 169

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 1326,4394 By Matching Biggest Common Factor Method

Greatest Common Factor of 1326,4394 By Matching Biggest Common Factor Method

Factors of 1326

List of positive integer factors of 1326 that divides 1326 without a remainder.

1,2,3,6,13,17,26,34,39,51,78,102,221,442,663,1326

Factors of 4394

List of positive integer factors of 4394 that divides 4394 without a remainder.

1,2,13,26,169,338,2197,4394

Greatest Common Factor

We found the factors 1326,4394 . The biggest common factor number is the GCF number.
So the greatest common factor 1326,4394 is 26.

Lets's calculate LCM of 364,523

Given numbers has no common factors except 1. So, there LCM is their product i.e 190372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/190372

Therefore, the GCF of Fractions 1326/364,4394/523 is 26/190372

Least Common Multiple of 364,523 with GCF Formula

Least Common Multiple of 364,523 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 364,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,523) = 1

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

GCF(364,523) x common factors =1 x 1 = 1

LCM(364,523) = ( 364 × 523 ) / 1

LCM(364,523) = 190372 / 1

LCM(364,523) = 190372


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 1326/364, 4394/523

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 1326/364, 4394/523?

Answer: GCF of Numerators as per given numbers 1326/364, 4394/523 is

GCF of Numerators i.e. for 1326,4394 is 26

LCM of denominators i.e. for 364,523 is 190372.

Thus, GCF of Fractions is 26/190372.Finally, GCF of Fractions for 1326/364, 4394/523 is 26/190372.