Greatest Common Factor of 800/856, 3349/238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 800/856, 3349/238

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 800/856,3349/238

Given fractions are 800/856,3349/238

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 800,3349

Greatest Common Factor of Numerators i.e. GCF of 800,3349 is 1 .

LCM of Denominators means LCM of 856,238 as per the given fractions.

LCM of 856,238 is 101864 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 800,3349

GCF of Fractions 800/856,3349/238 is 1/101864

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

Greatest Common Factor of 800,3349 By Matching Biggest Common Factor Method

Greatest Common Factor of 800,3349 By Matching Biggest Common Factor Method

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 3349

List of positive integer factors of 3349 that divides 3349 without a remainder.

1,17,197,3349

Greatest Common Factor

We found the factors 800,3349 . The biggest common factor number is the GCF number.
So the greatest common factor 800,3349 is 1.

Lets's calculate LCM of 856,238

2 856, 238
428, 119

∴ So the LCM of the given numbers is 2 x 428 x 119 = 101864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/101864

Therefore, the GCF of Fractions 800/856,3349/238 is 1/101864

Least Common Multiple of 856,238 with GCF Formula

Least Common Multiple of 856,238 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 856,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(856,238) = 2

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

GCF(856,238) x common factors =2 x 1 = 2

LCM(856,238) = ( 856 × 238 ) / 2

LCM(856,238) = 203728 / 2

LCM(856,238) = 101864


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 800/856, 3349/238

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 800/856, 3349/238?

Answer: GCF of Numerators as per given numbers 800/856, 3349/238 is

GCF of Numerators i.e. for 800,3349 is 1

LCM of denominators i.e. for 856,238 is 101864.

Thus, GCF of Fractions is 1/101864.Finally, GCF of Fractions for 800/856, 3349/238 is 1/101864.