Greatest Common Factor of 5845/330, 3074/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5845/330, 3074/440

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 5845/330,3074/440

Given fractions are 5845/330,3074/440

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 5845,3074

Greatest Common Factor of Numerators i.e. GCF of 5845,3074 is 1 .

LCM of Denominators means LCM of 330,440 as per the given fractions.

LCM of 330,440 is 1320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5845,3074

GCF of Fractions 5845/330,3074/440 is 1/1320

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

Greatest Common Factor of 5845,3074 By Matching Biggest Common Factor Method

Greatest Common Factor of 5845,3074 By Matching Biggest Common Factor Method

Factors of 5845

List of positive integer factors of 5845 that divides 5845 without a remainder.

1,5,7,35,167,835,1169,5845

Factors of 3074

List of positive integer factors of 3074 that divides 3074 without a remainder.

1,2,29,53,58,106,1537,3074

Greatest Common Factor

We found the factors 5845,3074 . The biggest common factor number is the GCF number.
So the greatest common factor 5845,3074 is 1.

Lets's calculate LCM of 330,440

2 330, 440
5 165, 220
11 33, 44
3, 4

∴ So the LCM of the given numbers is 2 x 5 x 11 x 3 x 4 = 1320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1320

Therefore, the GCF of Fractions 5845/330,3074/440 is 1/1320

Least Common Multiple of 330,440 with GCF Formula

Least Common Multiple of 330,440 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 330,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,440) = 110

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

GCF(330,440) x common factors =110 x 1 = 110

LCM(330,440) = ( 330 × 440 ) / 110

LCM(330,440) = 145200 / 110

LCM(330,440) = 1320


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 5845/330, 3074/440

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 5845/330, 3074/440?

Answer: GCF of Numerators as per given numbers 5845/330, 3074/440 is

GCF of Numerators i.e. for 5845,3074 is 1

LCM of denominators i.e. for 330,440 is 1320.

Thus, GCF of Fractions is 1/1320.Finally, GCF of Fractions for 5845/330, 3074/440 is 1/1320.