Greatest Common Factor of 578/42, 736/30, 120/591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 578/42, 736/30, 120/591

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 578/42,736/30,120/591

Given fractions are 578/42,736/30,120/591

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 578,736,120

Greatest Common Factor of Numerators i.e. GCF of 578,736,120 is 2 .

LCM of Denominators means LCM of 42,30,591 as per the given fractions.

LCM of 42,30,591 is 41370 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 578,736,120

GCF of Fractions 578/42,736/30,120/591 is 2/41370

2 578, 736, 120
289, 368, 60

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 578,736,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,736,120 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 578,736,120 . The biggest common factor number is the GCF number.
So the greatest common factor 578,736,120 is 2.

Lets's calculate LCM of 42,30,591

2 42, 30, 591
3 21, 15, 591
7, 5, 197

∴ So the LCM of the given numbers is 2 x 3 x 7 x 5 x 197 = 41370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/41370

Therefore, the GCF of Fractions 578/42,736/30,120/591 is 2/41370

Least Common Multiple of 42,30,591 with GCF Formula

Least Common Multiple of 42,30,591 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 42,30,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,30,591) = 3

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

GCF(42,30,591) x common factors =3 x 6 = 18

LCM(42,30,591) = ( 42 × 30 × 591 ) / 18

LCM(42,30,591) = 744660 / 18

LCM(42,30,591) = 41370


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 578/42, 736/30, 120/591

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 578/42, 736/30, 120/591?

Answer: GCF of Numerators as per given numbers 578/42, 736/30, 120/591 is

GCF of Numerators i.e. for 578,736,120 is 2

LCM of denominators i.e. for 42,30,591 is 41370.

Thus, GCF of Fractions is 2/41370.Finally, GCF of Fractions for 578/42, 736/30, 120/591 is 2/41370.