Greatest Common Factor of 4418/92, 9361/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 4418/92, 9361/398

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 4418/92,9361/398

Given fractions are 4418/92,9361/398

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 4418,9361

Greatest Common Factor of Numerators i.e. GCF of 4418,9361 is 1 .

LCM of Denominators means LCM of 92,398 as per the given fractions.

LCM of 92,398 is 18308 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4418,9361

GCF of Fractions 4418/92,9361/398 is 1/18308

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

Greatest Common Factor of 4418,9361 By Matching Biggest Common Factor Method

Greatest Common Factor of 4418,9361 By Matching Biggest Common Factor Method

Factors of 4418

List of positive integer factors of 4418 that divides 4418 without a remainder.

1,2,47,94,2209,4418

Factors of 9361

List of positive integer factors of 9361 that divides 9361 without a remainder.

1,11,23,37,253,407,851,9361

Greatest Common Factor

We found the factors 4418,9361 . The biggest common factor number is the GCF number.
So the greatest common factor 4418,9361 is 1.


Lets's calculate LCM of 92,398

2 92, 398
46, 199

∴ So the LCM of the given numbers is 2 x 46 x 199 = 18308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18308

Therefore, the GCF of Fractions 4418/92,9361/398 is 1/18308

Least Common Multiple of 92,398 with GCF Formula

Least Common Multiple of 92,398 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 92,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,398) = 2

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

GCF(92,398) x common factors =2 x 1 = 2

LCM(92,398) = ( 92 × 398 ) / 2

LCM(92,398) = 36616 / 2

LCM(92,398) = 18308


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 4418/92, 9361/398

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 4418/92, 9361/398?

Answer: GCF of Numerators as per given numbers 4418/92, 9361/398 is

GCF of Numerators i.e. for 4418,9361 is 1

LCM of denominators i.e. for 92,398 is 18308.

Thus, GCF of Fractions is 1/18308.Finally, GCF of Fractions for 4418/92, 9361/398 is 1/18308.