Greatest Common Factor of 3991/797, 3362/6717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 3991/797, 3362/6717

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 3991/797,3362/6717

Given fractions are 3991/797,3362/6717

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 3991,3362

Greatest Common Factor of Numerators i.e. GCF of 3991,3362 is 1 .

LCM of Denominators means LCM of 797,6717 as per the given fractions.

LCM of 797,6717 is 5353449 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3991,3362

GCF of Fractions 3991/797,3362/6717 is 1/5353449

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

Greatest Common Factor of 3991,3362 By Matching Biggest Common Factor Method

Greatest Common Factor of 3991,3362 By Matching Biggest Common Factor Method

Factors of 3991

List of positive integer factors of 3991 that divides 3991 without a remainder.

1,13,307,3991

Factors of 3362

List of positive integer factors of 3362 that divides 3362 without a remainder.

1,2,41,82,1681,3362

Greatest Common Factor

We found the factors 3991,3362 . The biggest common factor number is the GCF number.
So the greatest common factor 3991,3362 is 1.


Lets's calculate LCM of 797,6717

Given numbers has no common factors except 1. So, there LCM is their product i.e 5353449

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5353449

Therefore, the GCF of Fractions 3991/797,3362/6717 is 1/5353449

Least Common Multiple of 797,6717 with GCF Formula

Least Common Multiple of 797,6717 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 797,6717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(797,6717) = 1

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

GCF(797,6717) x common factors =1 x 1 = 1

LCM(797,6717) = ( 797 × 6717 ) / 1

LCM(797,6717) = 5353449 / 1

LCM(797,6717) = 5353449


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 3991/797, 3362/6717

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 3991/797, 3362/6717?

Answer: GCF of Numerators as per given numbers 3991/797, 3362/6717 is

GCF of Numerators i.e. for 3991,3362 is 1

LCM of denominators i.e. for 797,6717 is 5353449.

Thus, GCF of Fractions is 1/5353449.Finally, GCF of Fractions for 3991/797, 3362/6717 is 1/5353449.