Greatest Common Factor of 1649/605, 3339/6507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1649/605, 3339/6507

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 1649/605,3339/6507

Given fractions are 1649/605,3339/6507

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 1649,3339

Greatest Common Factor of Numerators i.e. GCF of 1649,3339 is 1 .

LCM of Denominators means LCM of 605,6507 as per the given fractions.

LCM of 605,6507 is 3936735 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1649,3339

GCF of Fractions 1649/605,3339/6507 is 1/3936735

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

Greatest Common Factor of 1649,3339 By Matching Biggest Common Factor Method

Greatest Common Factor of 1649,3339 By Matching Biggest Common Factor Method

Factors of 1649

List of positive integer factors of 1649 that divides 1649 without a remainder.

1,17,97,1649

Factors of 3339

List of positive integer factors of 3339 that divides 3339 without a remainder.

1,3,7,9,21,53,63,159,371,477,1113,3339

Greatest Common Factor

We found the factors 1649,3339 . The biggest common factor number is the GCF number.
So the greatest common factor 1649,3339 is 1.

Lets's calculate LCM of 605,6507

Given numbers has no common factors except 1. So, there LCM is their product i.e 3936735

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3936735

Therefore, the GCF of Fractions 1649/605,3339/6507 is 1/3936735

Least Common Multiple of 605,6507 with GCF Formula

Least Common Multiple of 605,6507 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 605,6507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,6507) = 1

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

GCF(605,6507) x common factors =1 x 1 = 1

LCM(605,6507) = ( 605 × 6507 ) / 1

LCM(605,6507) = 3936735 / 1

LCM(605,6507) = 3936735


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 1649/605, 3339/6507

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 1649/605, 3339/6507?

Answer: GCF of Numerators as per given numbers 1649/605, 3339/6507 is

GCF of Numerators i.e. for 1649,3339 is 1

LCM of denominators i.e. for 605,6507 is 3936735.

Thus, GCF of Fractions is 1/3936735.Finally, GCF of Fractions for 1649/605, 3339/6507 is 1/3936735.