Greatest Common Factor of 3280/240, 8790/4269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3280/240, 8790/4269

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 3280/240,8790/4269

Given fractions are 3280/240,8790/4269

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 3280,8790

Greatest Common Factor of Numerators i.e. GCF of 3280,8790 is 10 .

LCM of Denominators means LCM of 240,4269 as per the given fractions.

LCM of 240,4269 is 341520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3280,8790

GCF of Fractions 3280/240,8790/4269 is 10/341520

2 3280, 8790
5 1640, 4395
328, 879

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 3280,8790 By Matching Biggest Common Factor Method

Greatest Common Factor of 3280,8790 By Matching Biggest Common Factor Method

Factors of 3280

List of positive integer factors of 3280 that divides 3280 without a remainder.

1,2,4,5,8,10,16,20,40,41,80,82,164,205,328,410,656,820,1640,3280

Factors of 8790

List of positive integer factors of 8790 that divides 8790 without a remainder.

1,2,3,5,6,10,15,30,293,586,879,1465,1758,2930,4395,8790

Greatest Common Factor

We found the factors 3280,8790 . The biggest common factor number is the GCF number.
So the greatest common factor 3280,8790 is 10.

Lets's calculate LCM of 240,4269

3 240, 4269
80, 1423

∴ So the LCM of the given numbers is 3 x 80 x 1423 = 341520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/341520

Therefore, the GCF of Fractions 3280/240,8790/4269 is 10/341520

Least Common Multiple of 240,4269 with GCF Formula

Least Common Multiple of 240,4269 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 240,4269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,4269) = 3

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

GCF(240,4269) x common factors =3 x 1 = 3

LCM(240,4269) = ( 240 × 4269 ) / 3

LCM(240,4269) = 1024560 / 3

LCM(240,4269) = 341520


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 3280/240, 8790/4269

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 3280/240, 8790/4269?

Answer: GCF of Numerators as per given numbers 3280/240, 8790/4269 is

GCF of Numerators i.e. for 3280,8790 is 10

LCM of denominators i.e. for 240,4269 is 341520.

Thus, GCF of Fractions is 10/341520.Finally, GCF of Fractions for 3280/240, 8790/4269 is 10/341520.