Greatest Common Factor of 9223/996, 4038/7042

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9223/996, 4038/7042

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 9223/996,4038/7042

Given fractions are 9223/996,4038/7042

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 9223,4038

Greatest Common Factor of Numerators i.e. GCF of 9223,4038 is 1 .

LCM of Denominators means LCM of 996,7042 as per the given fractions.

LCM of 996,7042 is 3506916 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9223,4038

GCF of Fractions 9223/996,4038/7042 is 1/3506916

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9223,4038 By Matching Biggest Common Factor Method

Greatest Common Factor of 9223,4038 By Matching Biggest Common Factor Method

Factors of 9223

List of positive integer factors of 9223 that divides 9223 without a remainder.

1,23,401,9223

Factors of 4038

List of positive integer factors of 4038 that divides 4038 without a remainder.

1,2,3,6,673,1346,2019,4038

Greatest Common Factor

We found the factors 9223,4038 . The biggest common factor number is the GCF number.
So the greatest common factor 9223,4038 is 1.

Lets's calculate LCM of 996,7042

2 996, 7042
498, 3521

∴ So the LCM of the given numbers is 2 x 498 x 3521 = 3506916

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3506916

Therefore, the GCF of Fractions 9223/996,4038/7042 is 1/3506916

Least Common Multiple of 996,7042 with GCF Formula

Least Common Multiple of 996,7042 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 996,7042 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,7042) = 2

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

GCF(996,7042) x common factors =2 x 1 = 2

LCM(996,7042) = ( 996 × 7042 ) / 2

LCM(996,7042) = 7013832 / 2

LCM(996,7042) = 3506916


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 9223/996, 4038/7042

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 9223/996, 4038/7042?

Answer: GCF of Numerators as per given numbers 9223/996, 4038/7042 is

GCF of Numerators i.e. for 9223,4038 is 1

LCM of denominators i.e. for 996,7042 is 3506916.

Thus, GCF of Fractions is 1/3506916.Finally, GCF of Fractions for 9223/996, 4038/7042 is 1/3506916.