Greatest Common Factor of 704/413, 384/605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 704/413, 384/605

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 704/413,384/605

Given fractions are 704/413,384/605

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 704,384

Greatest Common Factor of Numerators i.e. GCF of 704,384 is 64 .

LCM of Denominators means LCM of 413,605 as per the given fractions.

LCM of 413,605 is 249865 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 704,384

GCF of Fractions 704/413,384/605 is 64/249865

2 704, 384
2 352, 192
2 176, 96
2 88, 48
2 44, 24
2 22, 12
11, 6

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 = 64

Greatest Common Factor of 704,384 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,384 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Greatest Common Factor

We found the factors 704,384 . The biggest common factor number is the GCF number.
So the greatest common factor 704,384 is 64.

Lets's calculate LCM of 413,605

Given numbers has no common factors except 1. So, there LCM is their product i.e 249865

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 64/249865

Therefore, the GCF of Fractions 704/413,384/605 is 64/249865

Least Common Multiple of 413,605 with GCF Formula

Least Common Multiple of 413,605 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 413,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(413,605) = 1

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

GCF(413,605) x common factors =1 x 1 = 1

LCM(413,605) = ( 413 × 605 ) / 1

LCM(413,605) = 249865 / 1

LCM(413,605) = 249865


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 704/413, 384/605

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 704/413, 384/605?

Answer: GCF of Numerators as per given numbers 704/413, 384/605 is

GCF of Numerators i.e. for 704,384 is 64

LCM of denominators i.e. for 413,605 is 249865.

Thus, GCF of Fractions is 64/249865.Finally, GCF of Fractions for 704/413, 384/605 is 64/249865.