Greatest Common Factor of 53/33, 393/60, 440/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 53/33, 393/60, 440/582

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 53/33,393/60,440/582

Given fractions are 53/33,393/60,440/582

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 53,393,440

Greatest Common Factor of Numerators i.e. GCF of 53,393,440 is 1 .

LCM of Denominators means LCM of 33,60,582 as per the given fractions.

LCM of 33,60,582 is 64020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 53,393,440

GCF of Fractions 53/33,393/60,440/582 is 1/64020

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

Greatest Common Factor of 53,393,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,393,440 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 53,393,440 . The biggest common factor number is the GCF number.
So the greatest common factor 53,393,440 is 1.

Lets's calculate LCM of 33,60,582

2 33, 60, 582
3 33, 30, 291
11, 10, 97

∴ So the LCM of the given numbers is 2 x 3 x 11 x 10 x 97 = 64020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64020

Therefore, the GCF of Fractions 53/33,393/60,440/582 is 1/64020

Least Common Multiple of 33,60,582 with GCF Formula

Least Common Multiple of 33,60,582 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 33,60,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,60,582) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(33,60,582) x common factors =3 x 6 = 18

LCM(33,60,582) = ( 33 × 60 × 582 ) / 18

LCM(33,60,582) = 1152360 / 18

LCM(33,60,582) = 64020


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 53/33, 393/60, 440/582

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 53/33, 393/60, 440/582?

Answer: GCF of Numerators as per given numbers 53/33, 393/60, 440/582 is

GCF of Numerators i.e. for 53,393,440 is 1

LCM of denominators i.e. for 33,60,582 is 64020.

Thus, GCF of Fractions is 1/64020.Finally, GCF of Fractions for 53/33, 393/60, 440/582 is 1/64020.