Greatest Common Factor of 357/99, 321/27, 301/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 357/99, 321/27, 301/105

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 357/99,321/27,301/105

Given fractions are 357/99,321/27,301/105

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 357,321,301

Greatest Common Factor of Numerators i.e. GCF of 357,321,301 is 1 .

LCM of Denominators means LCM of 99,27,105 as per the given fractions.

LCM of 99,27,105 is 10395 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 357,321,301

GCF of Fractions 357/99,321/27,301/105 is 1/10395

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

Greatest Common Factor of 357,321,301 By Matching Biggest Common Factor Method

Greatest Common Factor of 357,321,301 By Matching Biggest Common Factor Method

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Greatest Common Factor

We found the factors 357,321,301 . The biggest common factor number is the GCF number.
So the greatest common factor 357,321,301 is 1.

Lets's calculate LCM of 99,27,105

3 99, 27, 105
3 33, 9, 35
11, 3, 35

∴ So the LCM of the given numbers is 3 x 3 x 11 x 3 x 35 = 10395

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10395

Therefore, the GCF of Fractions 357/99,321/27,301/105 is 1/10395

Least Common Multiple of 99,27,105 with GCF Formula

Least Common Multiple of 99,27,105 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 99,27,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,27,105) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(99,27,105) x common factors =3 x 9 = 27

LCM(99,27,105) = ( 99 × 27 × 105 ) / 27

LCM(99,27,105) = 280665 / 27

LCM(99,27,105) = 10395


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 357/99, 321/27, 301/105

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 357/99, 321/27, 301/105?

Answer: GCF of Numerators as per given numbers 357/99, 321/27, 301/105 is

GCF of Numerators i.e. for 357,321,301 is 1

LCM of denominators i.e. for 99,27,105 is 10395.

Thus, GCF of Fractions is 1/10395.Finally, GCF of Fractions for 357/99, 321/27, 301/105 is 1/10395.