Greatest Common Factor of 38/96, 43/81, 58/53, 44/511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/96, 43/81, 58/53, 44/511

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 38/96,43/81,58/53,44/511

Given fractions are 38/96,43/81,58/53,44/511

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 38,43,58,44

Greatest Common Factor of Numerators i.e. GCF of 38,43,58,44 is 1 .

LCM of Denominators means LCM of 96,81,53,511 as per the given fractions.

LCM of 96,81,53,511 is 70199136 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,43,58,44

GCF of Fractions 38/96,43/81,58/53,44/511 is 1/70199136

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

Greatest Common Factor of 38,43,58,44 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,43,58,44 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 44

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

1,2,4,11,22,44

Greatest Common Factor

We found the factors 38,43,58,44 . The biggest common factor number is the GCF number.
So the greatest common factor 38,43,58,44 is 1.

Lets's calculate LCM of 96,81,53,511

3 96, 81, 53, 511
32, 27, 53, 511

∴ So the LCM of the given numbers is 3 x 32 x 27 x 53 x 511 = 70199136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70199136

Therefore, the GCF of Fractions 38/96,43/81,58/53,44/511 is 1/70199136

Least Common Multiple of 96,81,53,511 with GCF Formula

Least Common Multiple of 96,81,53,511 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 96,81,53,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,81,53,511) = 1

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

GCF(96,81,53,511) x common factors =1 x 3 = 3

LCM(96,81,53,511) = ( 96 × 81 × 53 × 511 ) / 3

LCM(96,81,53,511) = 210597408 / 3

LCM(96,81,53,511) = 70199136


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 38/96, 43/81, 58/53, 44/511

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 38/96, 43/81, 58/53, 44/511?

Answer: GCF of Numerators as per given numbers 38/96, 43/81, 58/53, 44/511 is

GCF of Numerators i.e. for 38,43,58,44 is 1

LCM of denominators i.e. for 96,81,53,511 is 70199136.

Thus, GCF of Fractions is 1/70199136.Finally, GCF of Fractions for 38/96, 43/81, 58/53, 44/511 is 1/70199136.