Greatest Common Factor of 7920/126, 7838/6210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7920/126, 7838/6210

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 7920/126,7838/6210

Given fractions are 7920/126,7838/6210

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 7920,7838

Greatest Common Factor of Numerators i.e. GCF of 7920,7838 is 2 .

LCM of Denominators means LCM of 126,6210 as per the given fractions.

LCM of 126,6210 is 43470 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7920,7838

GCF of Fractions 7920/126,7838/6210 is 2/43470

2 7920, 7838
3960, 3919

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

Greatest Common Factor of 7920,7838 By Matching Biggest Common Factor Method

Greatest Common Factor of 7920,7838 By Matching Biggest Common Factor Method

Factors of 7920

List of positive integer factors of 7920 that divides 7920 without a remainder.

1,2,3,4,5,6,8,9,10,11,12,15,16,18,20,22,24,30,33,36,40,44,45,48,55,60,66,72,80,88,90,99,110,120,132,144,165,176,180,198,220,240,264,330,360,396,440,495,528,660,720,792,880,990,1320,1584,1980,2640,3960,7920

Factors of 7838

List of positive integer factors of 7838 that divides 7838 without a remainder.

1,2,3919,7838

Greatest Common Factor

We found the factors 7920,7838 . The biggest common factor number is the GCF number.
So the greatest common factor 7920,7838 is 2.

Lets's calculate LCM of 126,6210

2 126, 6210
3 63, 3105
3 21, 1035
7, 345

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 345 = 43470

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/43470

Therefore, the GCF of Fractions 7920/126,7838/6210 is 2/43470

Least Common Multiple of 126,6210 with GCF Formula

Least Common Multiple of 126,6210 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 126,6210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(126,6210) = 18

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

GCF(126,6210) x common factors =18 x 1 = 18

LCM(126,6210) = ( 126 × 6210 ) / 18

LCM(126,6210) = 782460 / 18

LCM(126,6210) = 43470


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 7920/126, 7838/6210

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 7920/126, 7838/6210?

Answer: GCF of Numerators as per given numbers 7920/126, 7838/6210 is

GCF of Numerators i.e. for 7920,7838 is 2

LCM of denominators i.e. for 126,6210 is 43470.

Thus, GCF of Fractions is 2/43470.Finally, GCF of Fractions for 7920/126, 7838/6210 is 2/43470.