Greatest Common Factor of 3466/806, 5501/8420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3466/806, 5501/8420

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 3466/806,5501/8420

Given fractions are 3466/806,5501/8420

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 3466,5501

Greatest Common Factor of Numerators i.e. GCF of 3466,5501 is 1 .

LCM of Denominators means LCM of 806,8420 as per the given fractions.

LCM of 806,8420 is 3393260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3466,5501

GCF of Fractions 3466/806,5501/8420 is 1/3393260

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

Greatest Common Factor of 3466,5501 By Matching Biggest Common Factor Method

Greatest Common Factor of 3466,5501 By Matching Biggest Common Factor Method

Factors of 3466

List of positive integer factors of 3466 that divides 3466 without a remainder.

1,2,1733,3466

Factors of 5501

List of positive integer factors of 5501 that divides 5501 without a remainder.

1,5501

Greatest Common Factor

We found the factors 3466,5501 . The biggest common factor number is the GCF number.
So the greatest common factor 3466,5501 is 1.

Lets's calculate LCM of 806,8420

2 806, 8420
403, 4210

∴ So the LCM of the given numbers is 2 x 403 x 4210 = 3393260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3393260

Therefore, the GCF of Fractions 3466/806,5501/8420 is 1/3393260

Least Common Multiple of 806,8420 with GCF Formula

Least Common Multiple of 806,8420 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 806,8420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(806,8420) = 2

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

GCF(806,8420) x common factors =2 x 1 = 2

LCM(806,8420) = ( 806 × 8420 ) / 2

LCM(806,8420) = 6786520 / 2

LCM(806,8420) = 3393260


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 3466/806, 5501/8420

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 3466/806, 5501/8420?

Answer: GCF of Numerators as per given numbers 3466/806, 5501/8420 is

GCF of Numerators i.e. for 3466,5501 is 1

LCM of denominators i.e. for 806,8420 is 3393260.

Thus, GCF of Fractions is 1/3393260.Finally, GCF of Fractions for 3466/806, 5501/8420 is 1/3393260.