Greatest Common Factor of 824/660, 6040/3084

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 824/660, 6040/3084

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 824/660,6040/3084

Given fractions are 824/660,6040/3084

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 824,6040

Greatest Common Factor of Numerators i.e. GCF of 824,6040 is 8 .

LCM of Denominators means LCM of 660,3084 as per the given fractions.

LCM of 660,3084 is 169620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 824,6040

GCF of Fractions 824/660,6040/3084 is 8/169620

2 824, 6040
2 412, 3020
2 206, 1510
103, 755

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 824,6040 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,6040 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 6040

List of positive integer factors of 6040 that divides 6040 without a remainder.

1,2,4,5,8,10,20,40,151,302,604,755,1208,1510,3020,6040

Greatest Common Factor

We found the factors 824,6040 . The biggest common factor number is the GCF number.
So the greatest common factor 824,6040 is 8.

Lets's calculate LCM of 660,3084

2 660, 3084
2 330, 1542
3 165, 771
55, 257

∴ So the LCM of the given numbers is 2 x 2 x 3 x 55 x 257 = 169620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/169620

Therefore, the GCF of Fractions 824/660,6040/3084 is 8/169620

Least Common Multiple of 660,3084 with GCF Formula

Least Common Multiple of 660,3084 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 660,3084 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,3084) = 12

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

GCF(660,3084) x common factors =12 x 1 = 12

LCM(660,3084) = ( 660 × 3084 ) / 12

LCM(660,3084) = 2035440 / 12

LCM(660,3084) = 169620


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 824/660, 6040/3084

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 824/660, 6040/3084?

Answer: GCF of Numerators as per given numbers 824/660, 6040/3084 is

GCF of Numerators i.e. for 824,6040 is 8

LCM of denominators i.e. for 660,3084 is 169620.

Thus, GCF of Fractions is 8/169620.Finally, GCF of Fractions for 824/660, 6040/3084 is 8/169620.