Greatest Common Factor of 3442/806, 3341/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3442/806, 3341/972

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 3442/806,3341/972

Given fractions are 3442/806,3341/972

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 3442,3341

Greatest Common Factor of Numerators i.e. GCF of 3442,3341 is 1 .

LCM of Denominators means LCM of 806,972 as per the given fractions.

LCM of 806,972 is 391716 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3442,3341

GCF of Fractions 3442/806,3341/972 is 1/391716

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

Greatest Common Factor of 3442,3341 By Matching Biggest Common Factor Method

Greatest Common Factor of 3442,3341 By Matching Biggest Common Factor Method

Factors of 3442

List of positive integer factors of 3442 that divides 3442 without a remainder.

1,2,1721,3442

Factors of 3341

List of positive integer factors of 3341 that divides 3341 without a remainder.

1,13,257,3341

Greatest Common Factor

We found the factors 3442,3341 . The biggest common factor number is the GCF number.
So the greatest common factor 3442,3341 is 1.

Lets's calculate LCM of 806,972

2 806, 972
403, 486

∴ So the LCM of the given numbers is 2 x 403 x 486 = 391716

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/391716

Therefore, the GCF of Fractions 3442/806,3341/972 is 1/391716

Least Common Multiple of 806,972 with GCF Formula

Least Common Multiple of 806,972 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 806,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(806,972) = 2

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

GCF(806,972) x common factors =2 x 1 = 2

LCM(806,972) = ( 806 × 972 ) / 2

LCM(806,972) = 783432 / 2

LCM(806,972) = 391716


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 3442/806, 3341/972

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 3442/806, 3341/972?

Answer: GCF of Numerators as per given numbers 3442/806, 3341/972 is

GCF of Numerators i.e. for 3442,3341 is 1

LCM of denominators i.e. for 806,972 is 391716.

Thus, GCF of Fractions is 1/391716.Finally, GCF of Fractions for 3442/806, 3341/972 is 1/391716.