Greatest Common Factor of 3371/297, 1613/4259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3371/297, 1613/4259

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 3371/297,1613/4259

Given fractions are 3371/297,1613/4259

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 3371,1613

Greatest Common Factor of Numerators i.e. GCF of 3371,1613 is 1 .

LCM of Denominators means LCM of 297,4259 as per the given fractions.

LCM of 297,4259 is 1264923 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3371,1613

GCF of Fractions 3371/297,1613/4259 is 1/1264923

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

Greatest Common Factor of 3371,1613 By Matching Biggest Common Factor Method

Greatest Common Factor of 3371,1613 By Matching Biggest Common Factor Method

Factors of 3371

List of positive integer factors of 3371 that divides 3371 without a remainder.

1,3371

Factors of 1613

List of positive integer factors of 1613 that divides 1613 without a remainder.

1,1613

Greatest Common Factor

We found the factors 3371,1613 . The biggest common factor number is the GCF number.
So the greatest common factor 3371,1613 is 1.

Lets's calculate LCM of 297,4259

Given numbers has no common factors except 1. So, there LCM is their product i.e 1264923

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1264923

Therefore, the GCF of Fractions 3371/297,1613/4259 is 1/1264923

Least Common Multiple of 297,4259 with GCF Formula

Least Common Multiple of 297,4259 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 297,4259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,4259) = 1

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

GCF(297,4259) x common factors =1 x 1 = 1

LCM(297,4259) = ( 297 × 4259 ) / 1

LCM(297,4259) = 1264923 / 1

LCM(297,4259) = 1264923


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 3371/297, 1613/4259

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 3371/297, 1613/4259?

Answer: GCF of Numerators as per given numbers 3371/297, 1613/4259 is

GCF of Numerators i.e. for 3371,1613 is 1

LCM of denominators i.e. for 297,4259 is 1264923.

Thus, GCF of Fractions is 1/1264923.Finally, GCF of Fractions for 3371/297, 1613/4259 is 1/1264923.