Greatest Common Factor of 7444/842, 9242/3706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7444/842, 9242/3706

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 7444/842,9242/3706

Given fractions are 7444/842,9242/3706

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 7444,9242

Greatest Common Factor of Numerators i.e. GCF of 7444,9242 is 2 .

LCM of Denominators means LCM of 842,3706 as per the given fractions.

LCM of 842,3706 is 1560226 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7444,9242

GCF of Fractions 7444/842,9242/3706 is 2/1560226

2 7444, 9242
3722, 4621

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

Greatest Common Factor of 7444,9242 By Matching Biggest Common Factor Method

Greatest Common Factor of 7444,9242 By Matching Biggest Common Factor Method

Factors of 7444

List of positive integer factors of 7444 that divides 7444 without a remainder.

1,2,4,1861,3722,7444

Factors of 9242

List of positive integer factors of 9242 that divides 9242 without a remainder.

1,2,4621,9242

Greatest Common Factor

We found the factors 7444,9242 . The biggest common factor number is the GCF number.
So the greatest common factor 7444,9242 is 2.

Lets's calculate LCM of 842,3706

2 842, 3706
421, 1853

∴ So the LCM of the given numbers is 2 x 421 x 1853 = 1560226

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1560226

Therefore, the GCF of Fractions 7444/842,9242/3706 is 2/1560226

Least Common Multiple of 842,3706 with GCF Formula

Least Common Multiple of 842,3706 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 842,3706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(842,3706) = 2

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

GCF(842,3706) x common factors =2 x 1 = 2

LCM(842,3706) = ( 842 × 3706 ) / 2

LCM(842,3706) = 3120452 / 2

LCM(842,3706) = 1560226


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 7444/842, 9242/3706

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 7444/842, 9242/3706?

Answer: GCF of Numerators as per given numbers 7444/842, 9242/3706 is

GCF of Numerators i.e. for 7444,9242 is 2

LCM of denominators i.e. for 842,3706 is 1560226.

Thus, GCF of Fractions is 2/1560226.Finally, GCF of Fractions for 7444/842, 9242/3706 is 2/1560226.