Greatest Common Factor of 28/729, 44/103, 407/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/729, 44/103, 407/345

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 28/729,44/103,407/345

Given fractions are 28/729,44/103,407/345

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 28,44,407

Greatest Common Factor of Numerators i.e. GCF of 28,44,407 is 1 .

LCM of Denominators means LCM of 729,103,345 as per the given fractions.

LCM of 729,103,345 is 8635005 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,44,407

GCF of Fractions 28/729,44/103,407/345 is 1/8635005

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

Greatest Common Factor of 28,44,407 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,44,407 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Greatest Common Factor

We found the factors 28,44,407 . The biggest common factor number is the GCF number.
So the greatest common factor 28,44,407 is 1.

Lets's calculate LCM of 729,103,345

3 729, 103, 345
243, 103, 115

∴ So the LCM of the given numbers is 3 x 243 x 103 x 115 = 8635005

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8635005

Therefore, the GCF of Fractions 28/729,44/103,407/345 is 1/8635005

Least Common Multiple of 729,103,345 with GCF Formula

Least Common Multiple of 729,103,345 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 729,103,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,103,345) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(729,103,345) x common factors =1 x 3 = 3

LCM(729,103,345) = ( 729 × 103 × 345 ) / 3

LCM(729,103,345) = 25905015 / 3

LCM(729,103,345) = 8635005


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 28/729, 44/103, 407/345

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 28/729, 44/103, 407/345?

Answer: GCF of Numerators as per given numbers 28/729, 44/103, 407/345 is

GCF of Numerators i.e. for 28,44,407 is 1

LCM of denominators i.e. for 729,103,345 is 8635005.

Thus, GCF of Fractions is 1/8635005.Finally, GCF of Fractions for 28/729, 44/103, 407/345 is 1/8635005.