Greatest Common Factor of 764/81, 686/1704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 764/81, 686/1704

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 764/81,686/1704

Given fractions are 764/81,686/1704

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 764,686

Greatest Common Factor of Numerators i.e. GCF of 764,686 is 2 .

LCM of Denominators means LCM of 81,1704 as per the given fractions.

LCM of 81,1704 is 46008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 764,686

GCF of Fractions 764/81,686/1704 is 2/46008

2 764, 686
382, 343

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 764,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 764,686 By Matching Biggest Common Factor Method

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 764,686 . The biggest common factor number is the GCF number.
So the greatest common factor 764,686 is 2.

Lets's calculate LCM of 81,1704

3 81, 1704
27, 568

∴ So the LCM of the given numbers is 3 x 27 x 568 = 46008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/46008

Therefore, the GCF of Fractions 764/81,686/1704 is 2/46008

Least Common Multiple of 81,1704 with GCF Formula

Least Common Multiple of 81,1704 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 81,1704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,1704) = 3

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

GCF(81,1704) x common factors =3 x 1 = 3

LCM(81,1704) = ( 81 × 1704 ) / 3

LCM(81,1704) = 138024 / 3

LCM(81,1704) = 46008


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 764/81, 686/1704

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 764/81, 686/1704?

Answer: GCF of Numerators as per given numbers 764/81, 686/1704 is

GCF of Numerators i.e. for 764,686 is 2

LCM of denominators i.e. for 81,1704 is 46008.

Thus, GCF of Fractions is 2/46008.Finally, GCF of Fractions for 764/81, 686/1704 is 2/46008.