Greatest Common Factor of 6358/288, 6375/518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6358/288, 6375/518

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 6358/288,6375/518

Given fractions are 6358/288,6375/518

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 6358,6375

Greatest Common Factor of Numerators i.e. GCF of 6358,6375 is 17 .

LCM of Denominators means LCM of 288,518 as per the given fractions.

LCM of 288,518 is 74592 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6358,6375

GCF of Fractions 6358/288,6375/518 is 17/74592

17 6358, 6375
374, 375

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 6358,6375 By Matching Biggest Common Factor Method

Greatest Common Factor of 6358,6375 By Matching Biggest Common Factor Method

Factors of 6358

List of positive integer factors of 6358 that divides 6358 without a remainder.

1,2,11,17,22,34,187,289,374,578,3179,6358

Factors of 6375

List of positive integer factors of 6375 that divides 6375 without a remainder.

1,3,5,15,17,25,51,75,85,125,255,375,425,1275,2125,6375

Greatest Common Factor

We found the factors 6358,6375 . The biggest common factor number is the GCF number.
So the greatest common factor 6358,6375 is 17.

Lets's calculate LCM of 288,518

2 288, 518
144, 259

∴ So the LCM of the given numbers is 2 x 144 x 259 = 74592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/74592

Therefore, the GCF of Fractions 6358/288,6375/518 is 17/74592

Least Common Multiple of 288,518 with GCF Formula

Least Common Multiple of 288,518 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 288,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,518) = 2

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

GCF(288,518) x common factors =2 x 1 = 2

LCM(288,518) = ( 288 × 518 ) / 2

LCM(288,518) = 149184 / 2

LCM(288,518) = 74592


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 6358/288, 6375/518

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 6358/288, 6375/518?

Answer: GCF of Numerators as per given numbers 6358/288, 6375/518 is

GCF of Numerators i.e. for 6358,6375 is 17

LCM of denominators i.e. for 288,518 is 74592.

Thus, GCF of Fractions is 17/74592.Finally, GCF of Fractions for 6358/288, 6375/518 is 17/74592.