Greatest Common Factor of 328/40, 241/34, 669/899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 328/40, 241/34, 669/899

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 328/40,241/34,669/899

Given fractions are 328/40,241/34,669/899

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 328,241,669

Greatest Common Factor of Numerators i.e. GCF of 328,241,669 is 1 .

LCM of Denominators means LCM of 40,34,899 as per the given fractions.

LCM of 40,34,899 is 611320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 328,241,669

GCF of Fractions 328/40,241/34,669/899 is 1/611320

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

Greatest Common Factor of 328,241,669 By Matching Biggest Common Factor Method

Greatest Common Factor of 328,241,669 By Matching Biggest Common Factor Method

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Greatest Common Factor

We found the factors 328,241,669 . The biggest common factor number is the GCF number.
So the greatest common factor 328,241,669 is 1.

Lets's calculate LCM of 40,34,899

2 40, 34, 899
20, 17, 899

∴ So the LCM of the given numbers is 2 x 20 x 17 x 899 = 611320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/611320

Therefore, the GCF of Fractions 328/40,241/34,669/899 is 1/611320

Least Common Multiple of 40,34,899 with GCF Formula

Least Common Multiple of 40,34,899 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 40,34,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,34,899) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(40,34,899) x common factors =1 x 2 = 2

LCM(40,34,899) = ( 40 × 34 × 899 ) / 2

LCM(40,34,899) = 1222640 / 2

LCM(40,34,899) = 611320


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 328/40, 241/34, 669/899

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 328/40, 241/34, 669/899?

Answer: GCF of Numerators as per given numbers 328/40, 241/34, 669/899 is

GCF of Numerators i.e. for 328,241,669 is 1

LCM of denominators i.e. for 40,34,899 is 611320.

Thus, GCF of Fractions is 1/611320.Finally, GCF of Fractions for 328/40, 241/34, 669/899 is 1/611320.