Greatest Common Factor of 7244/330, 1020/591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7244/330, 1020/591

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 7244/330,1020/591

Given fractions are 7244/330,1020/591

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 7244,1020

Greatest Common Factor of Numerators i.e. GCF of 7244,1020 is 4 .

LCM of Denominators means LCM of 330,591 as per the given fractions.

LCM of 330,591 is 65010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7244,1020

GCF of Fractions 7244/330,1020/591 is 4/65010

2 7244, 1020
2 3622, 510
1811, 255

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7244,1020 By Matching Biggest Common Factor Method

Greatest Common Factor of 7244,1020 By Matching Biggest Common Factor Method

Factors of 7244

List of positive integer factors of 7244 that divides 7244 without a remainder.

1,2,4,1811,3622,7244

Factors of 1020

List of positive integer factors of 1020 that divides 1020 without a remainder.

1,2,3,4,5,6,10,12,15,17,20,30,34,51,60,68,85,102,170,204,255,340,510,1020

Greatest Common Factor

We found the factors 7244,1020 . The biggest common factor number is the GCF number.
So the greatest common factor 7244,1020 is 4.

Lets's calculate LCM of 330,591

3 330, 591
110, 197

∴ So the LCM of the given numbers is 3 x 110 x 197 = 65010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/65010

Therefore, the GCF of Fractions 7244/330,1020/591 is 4/65010

Least Common Multiple of 330,591 with GCF Formula

Least Common Multiple of 330,591 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 330,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,591) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(330,591) x common factors =3 x 1 = 3

LCM(330,591) = ( 330 × 591 ) / 3

LCM(330,591) = 195030 / 3

LCM(330,591) = 65010


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 7244/330, 1020/591

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 7244/330, 1020/591?

Answer: GCF of Numerators as per given numbers 7244/330, 1020/591 is

GCF of Numerators i.e. for 7244,1020 is 4

LCM of denominators i.e. for 330,591 is 65010.

Thus, GCF of Fractions is 4/65010.Finally, GCF of Fractions for 7244/330, 1020/591 is 4/65010.