Greatest Common Factor of 723/174, 8106/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 723/174, 8106/469

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 723/174,8106/469

Given fractions are 723/174,8106/469

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 723,8106

Greatest Common Factor of Numerators i.e. GCF of 723,8106 is 3 .

LCM of Denominators means LCM of 174,469 as per the given fractions.

LCM of 174,469 is 81606 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 723,8106

GCF of Fractions 723/174,8106/469 is 3/81606

3 723, 8106
241, 2702

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 723,8106 By Matching Biggest Common Factor Method

Greatest Common Factor of 723,8106 By Matching Biggest Common Factor Method

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 8106

List of positive integer factors of 8106 that divides 8106 without a remainder.

1,2,3,6,7,14,21,42,193,386,579,1158,1351,2702,4053,8106

Greatest Common Factor

We found the factors 723,8106 . The biggest common factor number is the GCF number.
So the greatest common factor 723,8106 is 3.

Lets's calculate LCM of 174,469

Given numbers has no common factors except 1. So, there LCM is their product i.e 81606

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/81606

Therefore, the GCF of Fractions 723/174,8106/469 is 3/81606

Least Common Multiple of 174,469 with GCF Formula

Least Common Multiple of 174,469 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 174,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,469) = 1

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

GCF(174,469) x common factors =1 x 1 = 1

LCM(174,469) = ( 174 × 469 ) / 1

LCM(174,469) = 81606 / 1

LCM(174,469) = 81606


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 723/174, 8106/469

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 723/174, 8106/469?

Answer: GCF of Numerators as per given numbers 723/174, 8106/469 is

GCF of Numerators i.e. for 723,8106 is 3

LCM of denominators i.e. for 174,469 is 81606.

Thus, GCF of Fractions is 3/81606.Finally, GCF of Fractions for 723/174, 8106/469 is 3/81606.