Greatest Common Factor of 8099/201, 9374/4494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8099/201, 9374/4494

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 8099/201,9374/4494

Given fractions are 8099/201,9374/4494

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 8099,9374

Greatest Common Factor of Numerators i.e. GCF of 8099,9374 is 1 .

LCM of Denominators means LCM of 201,4494 as per the given fractions.

LCM of 201,4494 is 301098 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8099,9374

GCF of Fractions 8099/201,9374/4494 is 1/301098

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

Greatest Common Factor of 8099,9374 By Matching Biggest Common Factor Method

Greatest Common Factor of 8099,9374 By Matching Biggest Common Factor Method

Factors of 8099

List of positive integer factors of 8099 that divides 8099 without a remainder.

1,7,13,89,91,623,1157,8099

Factors of 9374

List of positive integer factors of 9374 that divides 9374 without a remainder.

1,2,43,86,109,218,4687,9374

Greatest Common Factor

We found the factors 8099,9374 . The biggest common factor number is the GCF number.
So the greatest common factor 8099,9374 is 1.

Lets's calculate LCM of 201,4494

3 201, 4494
67, 1498

∴ So the LCM of the given numbers is 3 x 67 x 1498 = 301098

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/301098

Therefore, the GCF of Fractions 8099/201,9374/4494 is 1/301098

Least Common Multiple of 201,4494 with GCF Formula

Least Common Multiple of 201,4494 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 201,4494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(201,4494) = 3

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

GCF(201,4494) x common factors =3 x 1 = 3

LCM(201,4494) = ( 201 × 4494 ) / 3

LCM(201,4494) = 903294 / 3

LCM(201,4494) = 301098


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 8099/201, 9374/4494

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 8099/201, 9374/4494?

Answer: GCF of Numerators as per given numbers 8099/201, 9374/4494 is

GCF of Numerators i.e. for 8099,9374 is 1

LCM of denominators i.e. for 201,4494 is 301098.

Thus, GCF of Fractions is 1/301098.Finally, GCF of Fractions for 8099/201, 9374/4494 is 1/301098.