Greatest Common Factor of 673/723, 817/461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 673/723, 817/461

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 673/723,817/461

Given fractions are 673/723,817/461

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 673,817

Greatest Common Factor of Numerators i.e. GCF of 673,817 is 1 .

LCM of Denominators means LCM of 723,461 as per the given fractions.

LCM of 723,461 is 333303 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 673,817

GCF of Fractions 673/723,817/461 is 1/333303

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

Greatest Common Factor of 673,817 By Matching Biggest Common Factor Method

Greatest Common Factor of 673,817 By Matching Biggest Common Factor Method

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Greatest Common Factor

We found the factors 673,817 . The biggest common factor number is the GCF number.
So the greatest common factor 673,817 is 1.

Lets's calculate LCM of 723,461

Given numbers has no common factors except 1. So, there LCM is their product i.e 333303

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/333303

Therefore, the GCF of Fractions 673/723,817/461 is 1/333303

Least Common Multiple of 723,461 with GCF Formula

Least Common Multiple of 723,461 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 723,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,461) = 1

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

GCF(723,461) x common factors =1 x 1 = 1

LCM(723,461) = ( 723 × 461 ) / 1

LCM(723,461) = 333303 / 1

LCM(723,461) = 333303


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 673/723, 817/461

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 673/723, 817/461?

Answer: GCF of Numerators as per given numbers 673/723, 817/461 is

GCF of Numerators i.e. for 673,817 is 1

LCM of denominators i.e. for 723,461 is 333303.

Thus, GCF of Fractions is 1/333303.Finally, GCF of Fractions for 673/723, 817/461 is 1/333303.