Greatest Common Factor of 230/75, 4132/567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 230/75, 4132/567

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 230/75,4132/567

Given fractions are 230/75,4132/567

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 230,4132

Greatest Common Factor of Numerators i.e. GCF of 230,4132 is 2 .

LCM of Denominators means LCM of 75,567 as per the given fractions.

LCM of 75,567 is 14175 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 230,4132

GCF of Fractions 230/75,4132/567 is 2/14175

2 230, 4132
115, 2066

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

Greatest Common Factor of 230,4132 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,4132 By Matching Biggest Common Factor Method

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 4132

List of positive integer factors of 4132 that divides 4132 without a remainder.

1,2,4,1033,2066,4132

Greatest Common Factor

We found the factors 230,4132 . The biggest common factor number is the GCF number.
So the greatest common factor 230,4132 is 2.

Lets's calculate LCM of 75,567

3 75, 567
25, 189

∴ So the LCM of the given numbers is 3 x 25 x 189 = 14175

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14175

Therefore, the GCF of Fractions 230/75,4132/567 is 2/14175

Least Common Multiple of 75,567 with GCF Formula

Least Common Multiple of 75,567 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 75,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,567) = 3

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

GCF(75,567) x common factors =3 x 1 = 3

LCM(75,567) = ( 75 × 567 ) / 3

LCM(75,567) = 42525 / 3

LCM(75,567) = 14175


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 230/75, 4132/567

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 230/75, 4132/567?

Answer: GCF of Numerators as per given numbers 230/75, 4132/567 is

GCF of Numerators i.e. for 230,4132 is 2

LCM of denominators i.e. for 75,567 is 14175.

Thus, GCF of Fractions is 2/14175.Finally, GCF of Fractions for 230/75, 4132/567 is 2/14175.