Greatest Common Factor of 311/33, 121/64, 457/39

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 311/33, 121/64, 457/39

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 311/33,121/64,457/39

Given fractions are 311/33,121/64,457/39

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 311,121,457

Greatest Common Factor of Numerators i.e. GCF of 311,121,457 is 1 .

LCM of Denominators means LCM of 33,64,39 as per the given fractions.

LCM of 33,64,39 is 27456 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 311,121,457

GCF of Fractions 311/33,121/64,457/39 is 1/27456

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

Greatest Common Factor of 311,121,457 By Matching Biggest Common Factor Method

Greatest Common Factor of 311,121,457 By Matching Biggest Common Factor Method

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Greatest Common Factor

We found the factors 311,121,457 . The biggest common factor number is the GCF number.
So the greatest common factor 311,121,457 is 1.

Lets's calculate LCM of 33,64,39

3 33, 64, 39
11, 64, 13

∴ So the LCM of the given numbers is 3 x 11 x 64 x 13 = 27456

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27456

Therefore, the GCF of Fractions 311/33,121/64,457/39 is 1/27456

Least Common Multiple of 33,64,39 with GCF Formula

Least Common Multiple of 33,64,39 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 33,64,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,64,39) = 1

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

GCF(33,64,39) x common factors =1 x 3 = 3

LCM(33,64,39) = ( 33 × 64 × 39 ) / 3

LCM(33,64,39) = 82368 / 3

LCM(33,64,39) = 27456


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 311/33, 121/64, 457/39

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 311/33, 121/64, 457/39?

Answer: GCF of Numerators as per given numbers 311/33, 121/64, 457/39 is

GCF of Numerators i.e. for 311,121,457 is 1

LCM of denominators i.e. for 33,64,39 is 27456.

Thus, GCF of Fractions is 1/27456.Finally, GCF of Fractions for 311/33, 121/64, 457/39 is 1/27456.