Greatest Common Factor of 3744/26, 8293/809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3744/26, 8293/809

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 3744/26,8293/809

Given fractions are 3744/26,8293/809

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 3744,8293

Greatest Common Factor of Numerators i.e. GCF of 3744,8293 is 1 .

LCM of Denominators means LCM of 26,809 as per the given fractions.

LCM of 26,809 is 21034 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3744,8293

GCF of Fractions 3744/26,8293/809 is 1/21034

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

Greatest Common Factor of 3744,8293 By Matching Biggest Common Factor Method

Greatest Common Factor of 3744,8293 By Matching Biggest Common Factor Method

Factors of 3744

List of positive integer factors of 3744 that divides 3744 without a remainder.

1,2,3,4,6,8,9,12,13,16,18,24,26,32,36,39,48,52,72,78,96,104,117,144,156,208,234,288,312,416,468,624,936,1248,1872,3744

Factors of 8293

List of positive integer factors of 8293 that divides 8293 without a remainder.

1,8293

Greatest Common Factor

We found the factors 3744,8293 . The biggest common factor number is the GCF number.
So the greatest common factor 3744,8293 is 1.

Lets's calculate LCM of 26,809

Given numbers has no common factors except 1. So, there LCM is their product i.e 21034

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21034

Therefore, the GCF of Fractions 3744/26,8293/809 is 1/21034

Least Common Multiple of 26,809 with GCF Formula

Least Common Multiple of 26,809 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 26,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,809) = 1

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

GCF(26,809) x common factors =1 x 1 = 1

LCM(26,809) = ( 26 × 809 ) / 1

LCM(26,809) = 21034 / 1

LCM(26,809) = 21034


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 3744/26, 8293/809

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 3744/26, 8293/809?

Answer: GCF of Numerators as per given numbers 3744/26, 8293/809 is

GCF of Numerators i.e. for 3744,8293 is 1

LCM of denominators i.e. for 26,809 is 21034.

Thus, GCF of Fractions is 1/21034.Finally, GCF of Fractions for 3744/26, 8293/809 is 1/21034.