Greatest Common Factor of 669/23, 8441/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 669/23, 8441/294

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 669/23,8441/294

Given fractions are 669/23,8441/294

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 669,8441

Greatest Common Factor of Numerators i.e. GCF of 669,8441 is 1 .

LCM of Denominators means LCM of 23,294 as per the given fractions.

LCM of 23,294 is 6762 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 669,8441

GCF of Fractions 669/23,8441/294 is 1/6762

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

Greatest Common Factor of 669,8441 By Matching Biggest Common Factor Method

Greatest Common Factor of 669,8441 By Matching Biggest Common Factor Method

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Factors of 8441

List of positive integer factors of 8441 that divides 8441 without a remainder.

1,23,367,8441

Greatest Common Factor

We found the factors 669,8441 . The biggest common factor number is the GCF number.
So the greatest common factor 669,8441 is 1.

Lets's calculate LCM of 23,294

Given numbers has no common factors except 1. So, there LCM is their product i.e 6762

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6762

Therefore, the GCF of Fractions 669/23,8441/294 is 1/6762

Least Common Multiple of 23,294 with GCF Formula

Least Common Multiple of 23,294 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 23,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,294) = 1

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

GCF(23,294) x common factors =1 x 1 = 1

LCM(23,294) = ( 23 × 294 ) / 1

LCM(23,294) = 6762 / 1

LCM(23,294) = 6762


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 669/23, 8441/294

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 669/23, 8441/294?

Answer: GCF of Numerators as per given numbers 669/23, 8441/294 is

GCF of Numerators i.e. for 669,8441 is 1

LCM of denominators i.e. for 23,294 is 6762.

Thus, GCF of Fractions is 1/6762.Finally, GCF of Fractions for 669/23, 8441/294 is 1/6762.