Greatest Common Factor of 721/343, 2658/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 721/343, 2658/480

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 721/343,2658/480

Given fractions are 721/343,2658/480

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 721,2658

Greatest Common Factor of Numerators i.e. GCF of 721,2658 is 1 .

LCM of Denominators means LCM of 343,480 as per the given fractions.

LCM of 343,480 is 164640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 721,2658

GCF of Fractions 721/343,2658/480 is 1/164640

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

Greatest Common Factor of 721,2658 By Matching Biggest Common Factor Method

Greatest Common Factor of 721,2658 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 2658

List of positive integer factors of 2658 that divides 2658 without a remainder.

1,2,3,6,443,886,1329,2658

Greatest Common Factor

We found the factors 721,2658 . The biggest common factor number is the GCF number.
So the greatest common factor 721,2658 is 1.

Lets's calculate LCM of 343,480

Given numbers has no common factors except 1. So, there LCM is their product i.e 164640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164640

Therefore, the GCF of Fractions 721/343,2658/480 is 1/164640

Least Common Multiple of 343,480 with GCF Formula

Least Common Multiple of 343,480 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 343,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,480) = 1

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

GCF(343,480) x common factors =1 x 1 = 1

LCM(343,480) = ( 343 × 480 ) / 1

LCM(343,480) = 164640 / 1

LCM(343,480) = 164640


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 721/343, 2658/480

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 721/343, 2658/480?

Answer: GCF of Numerators as per given numbers 721/343, 2658/480 is

GCF of Numerators i.e. for 721,2658 is 1

LCM of denominators i.e. for 343,480 is 164640.

Thus, GCF of Fractions is 1/164640.Finally, GCF of Fractions for 721/343, 2658/480 is 1/164640.