Greatest Common Factor of 605/800, 8099/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 605/800, 8099/224

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 605/800,8099/224

Given fractions are 605/800,8099/224

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 605,8099

Greatest Common Factor of Numerators i.e. GCF of 605,8099 is 1 .

LCM of Denominators means LCM of 800,224 as per the given fractions.

LCM of 800,224 is 5600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 605,8099

GCF of Fractions 605/800,8099/224 is 1/5600

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

Greatest Common Factor of 605,8099 By Matching Biggest Common Factor Method

Greatest Common Factor of 605,8099 By Matching Biggest Common Factor Method

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Factors of 8099

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

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

Greatest Common Factor

We found the factors 605,8099 . The biggest common factor number is the GCF number.
So the greatest common factor 605,8099 is 1.

Lets's calculate LCM of 800,224

2 800, 224
2 400, 112
2 200, 56
2 100, 28
2 50, 14
25, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 25 x 7 = 5600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5600

Therefore, the GCF of Fractions 605/800,8099/224 is 1/5600

Least Common Multiple of 800,224 with GCF Formula

Least Common Multiple of 800,224 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 800,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,224) = 32

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

GCF(800,224) x common factors =32 x 1 = 32

LCM(800,224) = ( 800 × 224 ) / 32

LCM(800,224) = 179200 / 32

LCM(800,224) = 5600


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 605/800, 8099/224

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 605/800, 8099/224?

Answer: GCF of Numerators as per given numbers 605/800, 8099/224 is

GCF of Numerators i.e. for 605,8099 is 1

LCM of denominators i.e. for 800,224 is 5600.

Thus, GCF of Fractions is 1/5600.Finally, GCF of Fractions for 605/800, 8099/224 is 1/5600.