Greatest Common Factor of 1739/389, 2248/721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1739/389, 2248/721

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 1739/389,2248/721

Given fractions are 1739/389,2248/721

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 1739,2248

Greatest Common Factor of Numerators i.e. GCF of 1739,2248 is 1 .

LCM of Denominators means LCM of 389,721 as per the given fractions.

LCM of 389,721 is 280469 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1739,2248

GCF of Fractions 1739/389,2248/721 is 1/280469

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

Greatest Common Factor of 1739,2248 By Matching Biggest Common Factor Method

Greatest Common Factor of 1739,2248 By Matching Biggest Common Factor Method

Factors of 1739

List of positive integer factors of 1739 that divides 1739 without a remainder.

1,37,47,1739

Factors of 2248

List of positive integer factors of 2248 that divides 2248 without a remainder.

1,2,4,8,281,562,1124,2248

Greatest Common Factor

We found the factors 1739,2248 . The biggest common factor number is the GCF number.
So the greatest common factor 1739,2248 is 1.

Lets's calculate LCM of 389,721

Given numbers has no common factors except 1. So, there LCM is their product i.e 280469

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/280469

Therefore, the GCF of Fractions 1739/389,2248/721 is 1/280469

Least Common Multiple of 389,721 with GCF Formula

Least Common Multiple of 389,721 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 389,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(389,721) = 1

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

GCF(389,721) x common factors =1 x 1 = 1

LCM(389,721) = ( 389 × 721 ) / 1

LCM(389,721) = 280469 / 1

LCM(389,721) = 280469


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 1739/389, 2248/721

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 1739/389, 2248/721?

Answer: GCF of Numerators as per given numbers 1739/389, 2248/721 is

GCF of Numerators i.e. for 1739,2248 is 1

LCM of denominators i.e. for 389,721 is 280469.

Thus, GCF of Fractions is 1/280469.Finally, GCF of Fractions for 1739/389, 2248/721 is 1/280469.