Greatest Common Factor of 3470/970, 2836/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3470/970, 2836/208

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 3470/970,2836/208

Given fractions are 3470/970,2836/208

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 3470,2836

Greatest Common Factor of Numerators i.e. GCF of 3470,2836 is 2 .

LCM of Denominators means LCM of 970,208 as per the given fractions.

LCM of 970,208 is 100880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3470,2836

GCF of Fractions 3470/970,2836/208 is 2/100880

2 3470, 2836
1735, 1418

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3470,2836 By Matching Biggest Common Factor Method

Greatest Common Factor of 3470,2836 By Matching Biggest Common Factor Method

Factors of 3470

List of positive integer factors of 3470 that divides 3470 without a remainder.

1,2,5,10,347,694,1735,3470

Factors of 2836

List of positive integer factors of 2836 that divides 2836 without a remainder.

1,2,4,709,1418,2836

Greatest Common Factor

We found the factors 3470,2836 . The biggest common factor number is the GCF number.
So the greatest common factor 3470,2836 is 2.

Lets's calculate LCM of 970,208

2 970, 208
485, 104

∴ So the LCM of the given numbers is 2 x 485 x 104 = 100880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/100880

Therefore, the GCF of Fractions 3470/970,2836/208 is 2/100880

Least Common Multiple of 970,208 with GCF Formula

Least Common Multiple of 970,208 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 970,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,208) = 2

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

GCF(970,208) x common factors =2 x 1 = 2

LCM(970,208) = ( 970 × 208 ) / 2

LCM(970,208) = 201760 / 2

LCM(970,208) = 100880


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 3470/970, 2836/208

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 3470/970, 2836/208?

Answer: GCF of Numerators as per given numbers 3470/970, 2836/208 is

GCF of Numerators i.e. for 3470,2836 is 2

LCM of denominators i.e. for 970,208 is 100880.

Thus, GCF of Fractions is 2/100880.Finally, GCF of Fractions for 3470/970, 2836/208 is 2/100880.