Greatest Common Factor of 704/898, 9729/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 704/898, 9729/542

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 704/898,9729/542

Given fractions are 704/898,9729/542

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 704,9729

Greatest Common Factor of Numerators i.e. GCF of 704,9729 is 1 .

LCM of Denominators means LCM of 898,542 as per the given fractions.

LCM of 898,542 is 243358 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 704,9729

GCF of Fractions 704/898,9729/542 is 1/243358

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

Greatest Common Factor of 704,9729 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,9729 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 9729

List of positive integer factors of 9729 that divides 9729 without a remainder.

1,3,9,23,47,69,141,207,423,1081,3243,9729

Greatest Common Factor

We found the factors 704,9729 . The biggest common factor number is the GCF number.
So the greatest common factor 704,9729 is 1.

Lets's calculate LCM of 898,542

2 898, 542
449, 271

∴ So the LCM of the given numbers is 2 x 449 x 271 = 243358

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/243358

Therefore, the GCF of Fractions 704/898,9729/542 is 1/243358

Least Common Multiple of 898,542 with GCF Formula

Least Common Multiple of 898,542 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 898,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(898,542) = 2

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

GCF(898,542) x common factors =2 x 1 = 2

LCM(898,542) = ( 898 × 542 ) / 2

LCM(898,542) = 486716 / 2

LCM(898,542) = 243358


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 704/898, 9729/542

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 704/898, 9729/542?

Answer: GCF of Numerators as per given numbers 704/898, 9729/542 is

GCF of Numerators i.e. for 704,9729 is 1

LCM of denominators i.e. for 898,542 is 243358.

Thus, GCF of Fractions is 1/243358.Finally, GCF of Fractions for 704/898, 9729/542 is 1/243358.