Greatest Common Factor of 721/449, 9585/9118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 721/449, 9585/9118

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 721/449,9585/9118

Given fractions are 721/449,9585/9118

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 721,9585

Greatest Common Factor of Numerators i.e. GCF of 721,9585 is 1 .

LCM of Denominators means LCM of 449,9118 as per the given fractions.

LCM of 449,9118 is 4093982 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 721,9585

GCF of Fractions 721/449,9585/9118 is 1/4093982

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

Greatest Common Factor of 721,9585 By Matching Biggest Common Factor Method

Greatest Common Factor of 721,9585 By Matching Biggest Common Factor Method

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 9585

List of positive integer factors of 9585 that divides 9585 without a remainder.

1,3,5,9,15,27,45,71,135,213,355,639,1065,1917,3195,9585

Greatest Common Factor

We found the factors 721,9585 . The biggest common factor number is the GCF number.
So the greatest common factor 721,9585 is 1.

Lets's calculate LCM of 449,9118

Given numbers has no common factors except 1. So, there LCM is their product i.e 4093982

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4093982

Therefore, the GCF of Fractions 721/449,9585/9118 is 1/4093982

Least Common Multiple of 449,9118 with GCF Formula

Least Common Multiple of 449,9118 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 449,9118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(449,9118) = 1

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

GCF(449,9118) x common factors =1 x 1 = 1

LCM(449,9118) = ( 449 × 9118 ) / 1

LCM(449,9118) = 4093982 / 1

LCM(449,9118) = 4093982


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 721/449, 9585/9118

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 721/449, 9585/9118?

Answer: GCF of Numerators as per given numbers 721/449, 9585/9118 is

GCF of Numerators i.e. for 721,9585 is 1

LCM of denominators i.e. for 449,9118 is 4093982.

Thus, GCF of Fractions is 1/4093982.Finally, GCF of Fractions for 721/449, 9585/9118 is 1/4093982.