Greatest Common Factor of 719/383, 560/673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 719/383, 560/673

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 719/383,560/673

Given fractions are 719/383,560/673

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 719,560

Greatest Common Factor of Numerators i.e. GCF of 719,560 is 1 .

LCM of Denominators means LCM of 383,673 as per the given fractions.

LCM of 383,673 is 257759 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 719,560

GCF of Fractions 719/383,560/673 is 1/257759

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

Greatest Common Factor of 719,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 719,560 By Matching Biggest Common Factor Method

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 719,560 . The biggest common factor number is the GCF number.
So the greatest common factor 719,560 is 1.

Lets's calculate LCM of 383,673

Given numbers has no common factors except 1. So, there LCM is their product i.e 257759

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/257759

Therefore, the GCF of Fractions 719/383,560/673 is 1/257759

Least Common Multiple of 383,673 with GCF Formula

Least Common Multiple of 383,673 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 383,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(383,673) = 1

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

GCF(383,673) x common factors =1 x 1 = 1

LCM(383,673) = ( 383 × 673 ) / 1

LCM(383,673) = 257759 / 1

LCM(383,673) = 257759


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 719/383, 560/673

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 719/383, 560/673?

Answer: GCF of Numerators as per given numbers 719/383, 560/673 is

GCF of Numerators i.e. for 719,560 is 1

LCM of denominators i.e. for 383,673 is 257759.

Thus, GCF of Fractions is 1/257759.Finally, GCF of Fractions for 719/383, 560/673 is 1/257759.