Greatest Common Factor of 7482/17, 2663/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7482/17, 2663/629

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 7482/17,2663/629

Given fractions are 7482/17,2663/629

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 7482,2663

Greatest Common Factor of Numerators i.e. GCF of 7482,2663 is 1 .

LCM of Denominators means LCM of 17,629 as per the given fractions.

LCM of 17,629 is 629 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7482,2663

GCF of Fractions 7482/17,2663/629 is 1/629

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

Greatest Common Factor of 7482,2663 By Matching Biggest Common Factor Method

Greatest Common Factor of 7482,2663 By Matching Biggest Common Factor Method

Factors of 7482

List of positive integer factors of 7482 that divides 7482 without a remainder.

1,2,3,6,29,43,58,86,87,129,174,258,1247,2494,3741,7482

Factors of 2663

List of positive integer factors of 2663 that divides 2663 without a remainder.

1,2663

Greatest Common Factor

We found the factors 7482,2663 . The biggest common factor number is the GCF number.
So the greatest common factor 7482,2663 is 1.

Lets's calculate LCM of 17,629

17 17, 629
1, 37

∴ So the LCM of the given numbers is 17 x 1 x 37 = 629

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/629

Therefore, the GCF of Fractions 7482/17,2663/629 is 1/629

Least Common Multiple of 17,629 with GCF Formula

Least Common Multiple of 17,629 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 17,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,629) = 17

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

GCF(17,629) x common factors =17 x 1 = 17

LCM(17,629) = ( 17 × 629 ) / 17

LCM(17,629) = 10693 / 17

LCM(17,629) = 629


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 7482/17, 2663/629

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 7482/17, 2663/629?

Answer: GCF of Numerators as per given numbers 7482/17, 2663/629 is

GCF of Numerators i.e. for 7482,2663 is 1

LCM of denominators i.e. for 17,629 is 629.

Thus, GCF of Fractions is 1/629.Finally, GCF of Fractions for 7482/17, 2663/629 is 1/629.