Greatest Common Factor of 3323/243, 9746/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3323/243, 9746/649

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 3323/243,9746/649

Given fractions are 3323/243,9746/649

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 3323,9746

Greatest Common Factor of Numerators i.e. GCF of 3323,9746 is 1 .

LCM of Denominators means LCM of 243,649 as per the given fractions.

LCM of 243,649 is 157707 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3323,9746

GCF of Fractions 3323/243,9746/649 is 1/157707

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

Greatest Common Factor of 3323,9746 By Matching Biggest Common Factor Method

Greatest Common Factor of 3323,9746 By Matching Biggest Common Factor Method

Factors of 3323

List of positive integer factors of 3323 that divides 3323 without a remainder.

1,3323

Factors of 9746

List of positive integer factors of 9746 that divides 9746 without a remainder.

1,2,11,22,443,886,4873,9746

Greatest Common Factor

We found the factors 3323,9746 . The biggest common factor number is the GCF number.
So the greatest common factor 3323,9746 is 1.

Lets's calculate LCM of 243,649

Given numbers has no common factors except 1. So, there LCM is their product i.e 157707

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157707

Therefore, the GCF of Fractions 3323/243,9746/649 is 1/157707

Least Common Multiple of 243,649 with GCF Formula

Least Common Multiple of 243,649 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 243,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,649) = 1

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

GCF(243,649) x common factors =1 x 1 = 1

LCM(243,649) = ( 243 × 649 ) / 1

LCM(243,649) = 157707 / 1

LCM(243,649) = 157707


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 3323/243, 9746/649

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 3323/243, 9746/649?

Answer: GCF of Numerators as per given numbers 3323/243, 9746/649 is

GCF of Numerators i.e. for 3323,9746 is 1

LCM of denominators i.e. for 243,649 is 157707.

Thus, GCF of Fractions is 1/157707.Finally, GCF of Fractions for 3323/243, 9746/649 is 1/157707.