Greatest Common Factor of 8441/787, 7843/3722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8441/787, 7843/3722

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 8441/787,7843/3722

Given fractions are 8441/787,7843/3722

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 8441,7843

Greatest Common Factor of Numerators i.e. GCF of 8441,7843 is 23 .

LCM of Denominators means LCM of 787,3722 as per the given fractions.

LCM of 787,3722 is 2929214 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8441,7843

GCF of Fractions 8441/787,7843/3722 is 23/2929214

23 8441, 7843
367, 341

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 8441,7843 By Matching Biggest Common Factor Method

Greatest Common Factor of 8441,7843 By Matching Biggest Common Factor Method

Factors of 8441

List of positive integer factors of 8441 that divides 8441 without a remainder.

1,23,367,8441

Factors of 7843

List of positive integer factors of 7843 that divides 7843 without a remainder.

1,11,23,31,253,341,713,7843

Greatest Common Factor

We found the factors 8441,7843 . The biggest common factor number is the GCF number.
So the greatest common factor 8441,7843 is 23.

Lets's calculate LCM of 787,3722

Given numbers has no common factors except 1. So, there LCM is their product i.e 2929214

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/2929214

Therefore, the GCF of Fractions 8441/787,7843/3722 is 23/2929214

Least Common Multiple of 787,3722 with GCF Formula

Least Common Multiple of 787,3722 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 787,3722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(787,3722) = 1

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

GCF(787,3722) x common factors =1 x 1 = 1

LCM(787,3722) = ( 787 × 3722 ) / 1

LCM(787,3722) = 2929214 / 1

LCM(787,3722) = 2929214


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 8441/787, 7843/3722

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 8441/787, 7843/3722?

Answer: GCF of Numerators as per given numbers 8441/787, 7843/3722 is

GCF of Numerators i.e. for 8441,7843 is 23

LCM of denominators i.e. for 787,3722 is 2929214.

Thus, GCF of Fractions is 23/2929214.Finally, GCF of Fractions for 8441/787, 7843/3722 is 23/2929214.