Greatest Common Factor of 470/384, 3785/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 470/384, 3785/146

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 470/384,3785/146

Given fractions are 470/384,3785/146

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 470,3785

Greatest Common Factor of Numerators i.e. GCF of 470,3785 is 5 .

LCM of Denominators means LCM of 384,146 as per the given fractions.

LCM of 384,146 is 28032 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 470,3785

GCF of Fractions 470/384,3785/146 is 5/28032

5 470, 3785
94, 757

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 470,3785 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,3785 By Matching Biggest Common Factor Method

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 3785

List of positive integer factors of 3785 that divides 3785 without a remainder.

1,5,757,3785

Greatest Common Factor

We found the factors 470,3785 . The biggest common factor number is the GCF number.
So the greatest common factor 470,3785 is 5.

Lets's calculate LCM of 384,146

2 384, 146
192, 73

∴ So the LCM of the given numbers is 2 x 192 x 73 = 28032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/28032

Therefore, the GCF of Fractions 470/384,3785/146 is 5/28032

Least Common Multiple of 384,146 with GCF Formula

Least Common Multiple of 384,146 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 384,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,146) = 2

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

GCF(384,146) x common factors =2 x 1 = 2

LCM(384,146) = ( 384 × 146 ) / 2

LCM(384,146) = 56064 / 2

LCM(384,146) = 28032


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 470/384, 3785/146

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 470/384, 3785/146?

Answer: GCF of Numerators as per given numbers 470/384, 3785/146 is

GCF of Numerators i.e. for 470,3785 is 5

LCM of denominators i.e. for 384,146 is 28032.

Thus, GCF of Fractions is 5/28032.Finally, GCF of Fractions for 470/384, 3785/146 is 5/28032.