Greatest Common Factor of 6409/846, 3168/244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6409/846, 3168/244

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 6409/846,3168/244

Given fractions are 6409/846,3168/244

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 6409,3168

Greatest Common Factor of Numerators i.e. GCF of 6409,3168 is 1 .

LCM of Denominators means LCM of 846,244 as per the given fractions.

LCM of 846,244 is 103212 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6409,3168

GCF of Fractions 6409/846,3168/244 is 1/103212

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

Greatest Common Factor of 6409,3168 By Matching Biggest Common Factor Method

Greatest Common Factor of 6409,3168 By Matching Biggest Common Factor Method

Factors of 6409

List of positive integer factors of 6409 that divides 6409 without a remainder.

1,13,17,29,221,377,493,6409

Factors of 3168

List of positive integer factors of 3168 that divides 3168 without a remainder.

1,2,3,4,6,8,9,11,12,16,18,22,24,32,33,36,44,48,66,72,88,96,99,132,144,176,198,264,288,352,396,528,792,1056,1584,3168

Greatest Common Factor

We found the factors 6409,3168 . The biggest common factor number is the GCF number.
So the greatest common factor 6409,3168 is 1.

Lets's calculate LCM of 846,244

2 846, 244
423, 122

∴ So the LCM of the given numbers is 2 x 423 x 122 = 103212

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/103212

Therefore, the GCF of Fractions 6409/846,3168/244 is 1/103212

Least Common Multiple of 846,244 with GCF Formula

Least Common Multiple of 846,244 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 846,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(846,244) = 2

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

GCF(846,244) x common factors =2 x 1 = 2

LCM(846,244) = ( 846 × 244 ) / 2

LCM(846,244) = 206424 / 2

LCM(846,244) = 103212


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 6409/846, 3168/244

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 6409/846, 3168/244?

Answer: GCF of Numerators as per given numbers 6409/846, 3168/244 is

GCF of Numerators i.e. for 6409,3168 is 1

LCM of denominators i.e. for 846,244 is 103212.

Thus, GCF of Fractions is 1/103212.Finally, GCF of Fractions for 6409/846, 3168/244 is 1/103212.