Greatest Common Factor of 6409/416, 2080/528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6409/416, 2080/528

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 6409/416,2080/528

Given fractions are 6409/416,2080/528

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 6409,2080

Greatest Common Factor of Numerators i.e. GCF of 6409,2080 is 13 .

LCM of Denominators means LCM of 416,528 as per the given fractions.

LCM of 416,528 is 13728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6409,2080

GCF of Fractions 6409/416,2080/528 is 13/13728

13 6409, 2080
493, 160

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 6409,2080 By Matching Biggest Common Factor Method

Greatest Common Factor of 6409,2080 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 2080

List of positive integer factors of 2080 that divides 2080 without a remainder.

1,2,4,5,8,10,13,16,20,26,32,40,52,65,80,104,130,160,208,260,416,520,1040,2080

Greatest Common Factor

We found the factors 6409,2080 . The biggest common factor number is the GCF number.
So the greatest common factor 6409,2080 is 13.

Lets's calculate LCM of 416,528

2 416, 528
2 208, 264
2 104, 132
2 52, 66
26, 33

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 26 x 33 = 13728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/13728

Therefore, the GCF of Fractions 6409/416,2080/528 is 13/13728

Least Common Multiple of 416,528 with GCF Formula

Least Common Multiple of 416,528 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 416,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(416,528) = 16

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

GCF(416,528) x common factors =16 x 1 = 16

LCM(416,528) = ( 416 × 528 ) / 16

LCM(416,528) = 219648 / 16

LCM(416,528) = 13728


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 6409/416, 2080/528

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 6409/416, 2080/528?

Answer: GCF of Numerators as per given numbers 6409/416, 2080/528 is

GCF of Numerators i.e. for 6409,2080 is 13

LCM of denominators i.e. for 416,528 is 13728.

Thus, GCF of Fractions is 13/13728.Finally, GCF of Fractions for 6409/416, 2080/528 is 13/13728.