Greatest Common Factor of 7320/75, 7642/849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7320/75, 7642/849

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 7320/75,7642/849

Given fractions are 7320/75,7642/849

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 7320,7642

Greatest Common Factor of Numerators i.e. GCF of 7320,7642 is 2 .

LCM of Denominators means LCM of 75,849 as per the given fractions.

LCM of 75,849 is 21225 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7320,7642

GCF of Fractions 7320/75,7642/849 is 2/21225

2 7320, 7642
3660, 3821

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

Greatest Common Factor of 7320,7642 By Matching Biggest Common Factor Method

Greatest Common Factor of 7320,7642 By Matching Biggest Common Factor Method

Factors of 7320

List of positive integer factors of 7320 that divides 7320 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,61,120,122,183,244,305,366,488,610,732,915,1220,1464,1830,2440,3660,7320

Factors of 7642

List of positive integer factors of 7642 that divides 7642 without a remainder.

1,2,3821,7642

Greatest Common Factor

We found the factors 7320,7642 . The biggest common factor number is the GCF number.
So the greatest common factor 7320,7642 is 2.

Lets's calculate LCM of 75,849

3 75, 849
25, 283

∴ So the LCM of the given numbers is 3 x 25 x 283 = 21225

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21225

Therefore, the GCF of Fractions 7320/75,7642/849 is 2/21225

Least Common Multiple of 75,849 with GCF Formula

Least Common Multiple of 75,849 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 75,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,849) = 3

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

GCF(75,849) x common factors =3 x 1 = 3

LCM(75,849) = ( 75 × 849 ) / 3

LCM(75,849) = 63675 / 3

LCM(75,849) = 21225


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 7320/75, 7642/849

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 7320/75, 7642/849?

Answer: GCF of Numerators as per given numbers 7320/75, 7642/849 is

GCF of Numerators i.e. for 7320,7642 is 2

LCM of denominators i.e. for 75,849 is 21225.

Thus, GCF of Fractions is 2/21225.Finally, GCF of Fractions for 7320/75, 7642/849 is 2/21225.