Greatest Common Factor of 488/668, 1845/301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 488/668, 1845/301

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 488/668,1845/301

Given fractions are 488/668,1845/301

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 488,1845

Greatest Common Factor of Numerators i.e. GCF of 488,1845 is 1 .

LCM of Denominators means LCM of 668,301 as per the given fractions.

LCM of 668,301 is 201068 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 488,1845

GCF of Fractions 488/668,1845/301 is 1/201068

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

Greatest Common Factor of 488,1845 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,1845 By Matching Biggest Common Factor Method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 1845

List of positive integer factors of 1845 that divides 1845 without a remainder.

1,3,5,9,15,41,45,123,205,369,615,1845

Greatest Common Factor

We found the factors 488,1845 . The biggest common factor number is the GCF number.
So the greatest common factor 488,1845 is 1.

Lets's calculate LCM of 668,301

Given numbers has no common factors except 1. So, there LCM is their product i.e 201068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/201068

Therefore, the GCF of Fractions 488/668,1845/301 is 1/201068

Least Common Multiple of 668,301 with GCF Formula

Least Common Multiple of 668,301 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 668,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,301) = 1

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

GCF(668,301) x common factors =1 x 1 = 1

LCM(668,301) = ( 668 × 301 ) / 1

LCM(668,301) = 201068 / 1

LCM(668,301) = 201068


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 488/668, 1845/301

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 488/668, 1845/301?

Answer: GCF of Numerators as per given numbers 488/668, 1845/301 is

GCF of Numerators i.e. for 488,1845 is 1

LCM of denominators i.e. for 668,301 is 201068.

Thus, GCF of Fractions is 1/201068.Finally, GCF of Fractions for 488/668, 1845/301 is 1/201068.