Greatest Common Factor of 741/30, 521/33, 762/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 741/30, 521/33, 762/489

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 741/30,521/33,762/489

Given fractions are 741/30,521/33,762/489

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 741,521,762

Greatest Common Factor of Numerators i.e. GCF of 741,521,762 is 1 .

LCM of Denominators means LCM of 30,33,489 as per the given fractions.

LCM of 30,33,489 is 53790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 741,521,762

GCF of Fractions 741/30,521/33,762/489 is 1/53790

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

Greatest Common Factor of 741,521,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 741,521,762 By Matching Biggest Common Factor Method

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 741,521,762 . The biggest common factor number is the GCF number.
So the greatest common factor 741,521,762 is 1.

Lets's calculate LCM of 30,33,489

3 30, 33, 489
10, 11, 163

∴ So the LCM of the given numbers is 3 x 10 x 11 x 163 = 53790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53790

Therefore, the GCF of Fractions 741/30,521/33,762/489 is 1/53790

Least Common Multiple of 30,33,489 with GCF Formula

Least Common Multiple of 30,33,489 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 30,33,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,33,489) = 3

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

GCF(30,33,489) x common factors =3 x 3 = 9

LCM(30,33,489) = ( 30 × 33 × 489 ) / 9

LCM(30,33,489) = 484110 / 9

LCM(30,33,489) = 53790


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 741/30, 521/33, 762/489

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 741/30, 521/33, 762/489?

Answer: GCF of Numerators as per given numbers 741/30, 521/33, 762/489 is

GCF of Numerators i.e. for 741,521,762 is 1

LCM of denominators i.e. for 30,33,489 is 53790.

Thus, GCF of Fractions is 1/53790.Finally, GCF of Fractions for 741/30, 521/33, 762/489 is 1/53790.