Greatest Common Factor of 683/543, 578/673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 683/543, 578/673

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 683/543,578/673

Given fractions are 683/543,578/673

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 683,578

Greatest Common Factor of Numerators i.e. GCF of 683,578 is 1 .

LCM of Denominators means LCM of 543,673 as per the given fractions.

LCM of 543,673 is 365439 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 683,578

GCF of Fractions 683/543,578/673 is 1/365439

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

Greatest Common Factor of 683,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 683,578 By Matching Biggest Common Factor Method

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 683,578 . The biggest common factor number is the GCF number.
So the greatest common factor 683,578 is 1.

Lets's calculate LCM of 543,673

Given numbers has no common factors except 1. So, there LCM is their product i.e 365439

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/365439

Therefore, the GCF of Fractions 683/543,578/673 is 1/365439

Least Common Multiple of 543,673 with GCF Formula

Least Common Multiple of 543,673 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 543,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(543,673) = 1

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

GCF(543,673) x common factors =1 x 1 = 1

LCM(543,673) = ( 543 × 673 ) / 1

LCM(543,673) = 365439 / 1

LCM(543,673) = 365439


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 683/543, 578/673

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 683/543, 578/673?

Answer: GCF of Numerators as per given numbers 683/543, 578/673 is

GCF of Numerators i.e. for 683,578 is 1

LCM of denominators i.e. for 543,673 is 365439.

Thus, GCF of Fractions is 1/365439.Finally, GCF of Fractions for 683/543, 578/673 is 1/365439.