Greatest Common Factor of 6970/458, 5570/6806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6970/458, 5570/6806

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 6970/458,5570/6806

Given fractions are 6970/458,5570/6806

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 6970,5570

Greatest Common Factor of Numerators i.e. GCF of 6970,5570 is 10 .

LCM of Denominators means LCM of 458,6806 as per the given fractions.

LCM of 458,6806 is 1558574 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6970,5570

GCF of Fractions 6970/458,5570/6806 is 10/1558574

2 6970, 5570
5 3485, 2785
697, 557

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 6970,5570 By Matching Biggest Common Factor Method

Greatest Common Factor of 6970,5570 By Matching Biggest Common Factor Method

Factors of 6970

List of positive integer factors of 6970 that divides 6970 without a remainder.

1,2,5,10,17,34,41,82,85,170,205,410,697,1394,3485,6970

Factors of 5570

List of positive integer factors of 5570 that divides 5570 without a remainder.

1,2,5,10,557,1114,2785,5570

Greatest Common Factor

We found the factors 6970,5570 . The biggest common factor number is the GCF number.
So the greatest common factor 6970,5570 is 10.

Lets's calculate LCM of 458,6806

2 458, 6806
229, 3403

∴ So the LCM of the given numbers is 2 x 229 x 3403 = 1558574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1558574

Therefore, the GCF of Fractions 6970/458,5570/6806 is 10/1558574

Least Common Multiple of 458,6806 with GCF Formula

Least Common Multiple of 458,6806 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 458,6806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,6806) = 2

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

GCF(458,6806) x common factors =2 x 1 = 2

LCM(458,6806) = ( 458 × 6806 ) / 2

LCM(458,6806) = 3117148 / 2

LCM(458,6806) = 1558574


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 6970/458, 5570/6806

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 6970/458, 5570/6806?

Answer: GCF of Numerators as per given numbers 6970/458, 5570/6806 is

GCF of Numerators i.e. for 6970,5570 is 10

LCM of denominators i.e. for 458,6806 is 1558574.

Thus, GCF of Fractions is 10/1558574.Finally, GCF of Fractions for 6970/458, 5570/6806 is 10/1558574.