Greatest Common Factor of 729/346, 298/820, 965/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 729/346, 298/820, 965/382

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 729/346,298/820,965/382

Given fractions are 729/346,298/820,965/382

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 729,298,965

Greatest Common Factor of Numerators i.e. GCF of 729,298,965 is 1 .

LCM of Denominators means LCM of 346,820,382 as per the given fractions.

LCM of 346,820,382 is 27095260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 729,298,965

GCF of Fractions 729/346,298/820,965/382 is 1/27095260

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

Greatest Common Factor of 729,298,965 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,298,965 By Matching Biggest Common Factor Method

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Greatest Common Factor

We found the factors 729,298,965 . The biggest common factor number is the GCF number.
So the greatest common factor 729,298,965 is 1.

Lets's calculate LCM of 346,820,382

2 346, 820, 382
173, 410, 191

∴ So the LCM of the given numbers is 2 x 173 x 410 x 191 = 27095260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27095260

Therefore, the GCF of Fractions 729/346,298/820,965/382 is 1/27095260

Least Common Multiple of 346,820,382 with GCF Formula

Least Common Multiple of 346,820,382 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 346,820,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(346,820,382) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(346,820,382) x common factors =2 x 2 = 4

LCM(346,820,382) = ( 346 × 820 × 382 ) / 4

LCM(346,820,382) = 108381040 / 4

LCM(346,820,382) = 27095260


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 729/346, 298/820, 965/382

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 729/346, 298/820, 965/382?

Answer: GCF of Numerators as per given numbers 729/346, 298/820, 965/382 is

GCF of Numerators i.e. for 729,298,965 is 1

LCM of denominators i.e. for 346,820,382 is 27095260.

Thus, GCF of Fractions is 1/27095260.Finally, GCF of Fractions for 729/346, 298/820, 965/382 is 1/27095260.