Greatest Common Factor of 704/911, 8305/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 704/911, 8305/462

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 704/911,8305/462

Given fractions are 704/911,8305/462

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 704,8305

Greatest Common Factor of Numerators i.e. GCF of 704,8305 is 11 .

LCM of Denominators means LCM of 911,462 as per the given fractions.

LCM of 911,462 is 420882 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 704,8305

GCF of Fractions 704/911,8305/462 is 11/420882

11 704, 8305
64, 755

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 704,8305 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,8305 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 8305

List of positive integer factors of 8305 that divides 8305 without a remainder.

1,5,11,55,151,755,1661,8305

Greatest Common Factor

We found the factors 704,8305 . The biggest common factor number is the GCF number.
So the greatest common factor 704,8305 is 11.

Lets's calculate LCM of 911,462

Given numbers has no common factors except 1. So, there LCM is their product i.e 420882

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/420882

Therefore, the GCF of Fractions 704/911,8305/462 is 11/420882

Least Common Multiple of 911,462 with GCF Formula

Least Common Multiple of 911,462 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 911,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(911,462) = 1

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

GCF(911,462) x common factors =1 x 1 = 1

LCM(911,462) = ( 911 × 462 ) / 1

LCM(911,462) = 420882 / 1

LCM(911,462) = 420882


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 704/911, 8305/462

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 704/911, 8305/462?

Answer: GCF of Numerators as per given numbers 704/911, 8305/462 is

GCF of Numerators i.e. for 704,8305 is 11

LCM of denominators i.e. for 911,462 is 420882.

Thus, GCF of Fractions is 11/420882.Finally, GCF of Fractions for 704/911, 8305/462 is 11/420882.