Greatest Common Factor of 7842/811, 8704/2421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7842/811, 8704/2421

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 7842/811,8704/2421

Given fractions are 7842/811,8704/2421

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 7842,8704

Greatest Common Factor of Numerators i.e. GCF of 7842,8704 is 2 .

LCM of Denominators means LCM of 811,2421 as per the given fractions.

LCM of 811,2421 is 1963431 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7842,8704

GCF of Fractions 7842/811,8704/2421 is 2/1963431

2 7842, 8704
3921, 4352

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

Greatest Common Factor of 7842,8704 By Matching Biggest Common Factor Method

Greatest Common Factor of 7842,8704 By Matching Biggest Common Factor Method

Factors of 7842

List of positive integer factors of 7842 that divides 7842 without a remainder.

1,2,3,6,1307,2614,3921,7842

Factors of 8704

List of positive integer factors of 8704 that divides 8704 without a remainder.

1,2,4,8,16,17,32,34,64,68,128,136,256,272,512,544,1088,2176,4352,8704

Greatest Common Factor

We found the factors 7842,8704 . The biggest common factor number is the GCF number.
So the greatest common factor 7842,8704 is 2.

Lets's calculate LCM of 811,2421

Given numbers has no common factors except 1. So, there LCM is their product i.e 1963431

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1963431

Therefore, the GCF of Fractions 7842/811,8704/2421 is 2/1963431

Least Common Multiple of 811,2421 with GCF Formula

Least Common Multiple of 811,2421 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 811,2421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(811,2421) = 1

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

GCF(811,2421) x common factors =1 x 1 = 1

LCM(811,2421) = ( 811 × 2421 ) / 1

LCM(811,2421) = 1963431 / 1

LCM(811,2421) = 1963431


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 7842/811, 8704/2421

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 7842/811, 8704/2421?

Answer: GCF of Numerators as per given numbers 7842/811, 8704/2421 is

GCF of Numerators i.e. for 7842,8704 is 2

LCM of denominators i.e. for 811,2421 is 1963431.

Thus, GCF of Fractions is 2/1963431.Finally, GCF of Fractions for 7842/811, 8704/2421 is 2/1963431.