Greatest Common Factor of 729/294, 316/344, 196/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 729/294, 316/344, 196/476

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 729/294,316/344,196/476

Given fractions are 729/294,316/344,196/476

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 729,316,196

Greatest Common Factor of Numerators i.e. GCF of 729,316,196 is 1 .

LCM of Denominators means LCM of 294,344,476 as per the given fractions.

LCM of 294,344,476 is 859656 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 729,316,196

GCF of Fractions 729/294,316/344,196/476 is 1/859656

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

Greatest Common Factor of 729,316,196 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,316,196 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 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Greatest Common Factor

We found the factors 729,316,196 . The biggest common factor number is the GCF number.
So the greatest common factor 729,316,196 is 1.

Lets's calculate LCM of 294,344,476

2 294, 344, 476
2 147, 172, 238
7 147, 86, 119
21, 86, 17

∴ So the LCM of the given numbers is 2 x 2 x 7 x 21 x 86 x 17 = 859656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/859656

Therefore, the GCF of Fractions 729/294,316/344,196/476 is 1/859656

Least Common Multiple of 294,344,476 with GCF Formula

Least Common Multiple of 294,344,476 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 294,344,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,344,476) = 2

common factors(in case of two or more numbers have common factors) = 28

GCF(294,344,476) x common factors =2 x 28 = 56

LCM(294,344,476) = ( 294 × 344 × 476 ) / 56

LCM(294,344,476) = 48140736 / 56

LCM(294,344,476) = 859656


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 729/294, 316/344, 196/476

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 729/294, 316/344, 196/476?

Answer: GCF of Numerators as per given numbers 729/294, 316/344, 196/476 is

GCF of Numerators i.e. for 729,316,196 is 1

LCM of denominators i.e. for 294,344,476 is 859656.

Thus, GCF of Fractions is 1/859656.Finally, GCF of Fractions for 729/294, 316/344, 196/476 is 1/859656.