Greatest Common Factor of 3539/206, 8000/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3539/206, 8000/340

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 3539/206,8000/340

Given fractions are 3539/206,8000/340

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 3539,8000

Greatest Common Factor of Numerators i.e. GCF of 3539,8000 is 1 .

LCM of Denominators means LCM of 206,340 as per the given fractions.

LCM of 206,340 is 35020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3539,8000

GCF of Fractions 3539/206,8000/340 is 1/35020

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

Greatest Common Factor of 3539,8000 By Matching Biggest Common Factor Method

Greatest Common Factor of 3539,8000 By Matching Biggest Common Factor Method

Factors of 3539

List of positive integer factors of 3539 that divides 3539 without a remainder.

1,3539

Factors of 8000

List of positive integer factors of 8000 that divides 8000 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,125,160,200,250,320,400,500,800,1000,1600,2000,4000,8000

Greatest Common Factor

We found the factors 3539,8000 . The biggest common factor number is the GCF number.
So the greatest common factor 3539,8000 is 1.

Lets's calculate LCM of 206,340

2 206, 340
103, 170

∴ So the LCM of the given numbers is 2 x 103 x 170 = 35020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35020

Therefore, the GCF of Fractions 3539/206,8000/340 is 1/35020

Least Common Multiple of 206,340 with GCF Formula

Least Common Multiple of 206,340 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 206,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,340) = 2

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

GCF(206,340) x common factors =2 x 1 = 2

LCM(206,340) = ( 206 × 340 ) / 2

LCM(206,340) = 70040 / 2

LCM(206,340) = 35020


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 3539/206, 8000/340

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 3539/206, 8000/340?

Answer: GCF of Numerators as per given numbers 3539/206, 8000/340 is

GCF of Numerators i.e. for 3539,8000 is 1

LCM of denominators i.e. for 206,340 is 35020.

Thus, GCF of Fractions is 1/35020.Finally, GCF of Fractions for 3539/206, 8000/340 is 1/35020.