Greatest Common Factor of 5984/240, 1897/5553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5984/240, 1897/5553

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 5984/240,1897/5553

Given fractions are 5984/240,1897/5553

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 5984,1897

Greatest Common Factor of Numerators i.e. GCF of 5984,1897 is 1 .

LCM of Denominators means LCM of 240,5553 as per the given fractions.

LCM of 240,5553 is 444240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5984,1897

GCF of Fractions 5984/240,1897/5553 is 1/444240

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

Greatest Common Factor of 5984,1897 By Matching Biggest Common Factor Method

Greatest Common Factor of 5984,1897 By Matching Biggest Common Factor Method

Factors of 5984

List of positive integer factors of 5984 that divides 5984 without a remainder.

1,2,4,8,11,16,17,22,32,34,44,68,88,136,176,187,272,352,374,544,748,1496,2992,5984

Factors of 1897

List of positive integer factors of 1897 that divides 1897 without a remainder.

1,7,271,1897

Greatest Common Factor

We found the factors 5984,1897 . The biggest common factor number is the GCF number.
So the greatest common factor 5984,1897 is 1.

Lets's calculate LCM of 240,5553

3 240, 5553
80, 1851

∴ So the LCM of the given numbers is 3 x 80 x 1851 = 444240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/444240

Therefore, the GCF of Fractions 5984/240,1897/5553 is 1/444240

Least Common Multiple of 240,5553 with GCF Formula

Least Common Multiple of 240,5553 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 240,5553 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,5553) = 3

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

GCF(240,5553) x common factors =3 x 1 = 3

LCM(240,5553) = ( 240 × 5553 ) / 3

LCM(240,5553) = 1332720 / 3

LCM(240,5553) = 444240


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 5984/240, 1897/5553

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 5984/240, 1897/5553?

Answer: GCF of Numerators as per given numbers 5984/240, 1897/5553 is

GCF of Numerators i.e. for 5984,1897 is 1

LCM of denominators i.e. for 240,5553 is 444240.

Thus, GCF of Fractions is 1/444240.Finally, GCF of Fractions for 5984/240, 1897/5553 is 1/444240.