Greatest Common Factor of 6657/496, 3260/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6657/496, 3260/326

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 6657/496,3260/326

Given fractions are 6657/496,3260/326

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 6657,3260

Greatest Common Factor of Numerators i.e. GCF of 6657,3260 is 1 .

LCM of Denominators means LCM of 496,326 as per the given fractions.

LCM of 496,326 is 80848 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6657,3260

GCF of Fractions 6657/496,3260/326 is 1/80848

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

Greatest Common Factor of 6657,3260 By Matching Biggest Common Factor Method

Greatest Common Factor of 6657,3260 By Matching Biggest Common Factor Method

Factors of 6657

List of positive integer factors of 6657 that divides 6657 without a remainder.

1,3,7,21,317,951,2219,6657

Factors of 3260

List of positive integer factors of 3260 that divides 3260 without a remainder.

1,2,4,5,10,20,163,326,652,815,1630,3260

Greatest Common Factor

We found the factors 6657,3260 . The biggest common factor number is the GCF number.
So the greatest common factor 6657,3260 is 1.

Lets's calculate LCM of 496,326

2 496, 326
248, 163

∴ So the LCM of the given numbers is 2 x 248 x 163 = 80848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80848

Therefore, the GCF of Fractions 6657/496,3260/326 is 1/80848

Least Common Multiple of 496,326 with GCF Formula

Least Common Multiple of 496,326 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 496,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,326) = 2

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

GCF(496,326) x common factors =2 x 1 = 2

LCM(496,326) = ( 496 × 326 ) / 2

LCM(496,326) = 161696 / 2

LCM(496,326) = 80848


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 6657/496, 3260/326

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 6657/496, 3260/326?

Answer: GCF of Numerators as per given numbers 6657/496, 3260/326 is

GCF of Numerators i.e. for 6657,3260 is 1

LCM of denominators i.e. for 496,326 is 80848.

Thus, GCF of Fractions is 1/80848.Finally, GCF of Fractions for 6657/496, 3260/326 is 1/80848.