Greatest Common Factor of 1784/65, 8337/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1784/65, 8337/344

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 1784/65,8337/344

Given fractions are 1784/65,8337/344

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 1784,8337

Greatest Common Factor of Numerators i.e. GCF of 1784,8337 is 1 .

LCM of Denominators means LCM of 65,344 as per the given fractions.

LCM of 65,344 is 22360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1784,8337

GCF of Fractions 1784/65,8337/344 is 1/22360

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

Greatest Common Factor of 1784,8337 By Matching Biggest Common Factor Method

Greatest Common Factor of 1784,8337 By Matching Biggest Common Factor Method

Factors of 1784

List of positive integer factors of 1784 that divides 1784 without a remainder.

1,2,4,8,223,446,892,1784

Factors of 8337

List of positive integer factors of 8337 that divides 8337 without a remainder.

1,3,7,21,397,1191,2779,8337

Greatest Common Factor

We found the factors 1784,8337 . The biggest common factor number is the GCF number.
So the greatest common factor 1784,8337 is 1.

Lets's calculate LCM of 65,344

Given numbers has no common factors except 1. So, there LCM is their product i.e 22360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22360

Therefore, the GCF of Fractions 1784/65,8337/344 is 1/22360

Least Common Multiple of 65,344 with GCF Formula

Least Common Multiple of 65,344 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 65,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,344) = 1

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

GCF(65,344) x common factors =1 x 1 = 1

LCM(65,344) = ( 65 × 344 ) / 1

LCM(65,344) = 22360 / 1

LCM(65,344) = 22360


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 1784/65, 8337/344

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 1784/65, 8337/344?

Answer: GCF of Numerators as per given numbers 1784/65, 8337/344 is

GCF of Numerators i.e. for 1784,8337 is 1

LCM of denominators i.e. for 65,344 is 22360.

Thus, GCF of Fractions is 1/22360.Finally, GCF of Fractions for 1784/65, 8337/344 is 1/22360.