Greatest Common Factor of 258/66, 111/30, 459/14

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 258/66, 111/30, 459/14

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 258/66,111/30,459/14

Given fractions are 258/66,111/30,459/14

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 258,111,459

Greatest Common Factor of Numerators i.e. GCF of 258,111,459 is 3 .

LCM of Denominators means LCM of 66,30,14 as per the given fractions.

LCM of 66,30,14 is 2310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 258,111,459

GCF of Fractions 258/66,111/30,459/14 is 3/2310

3 258, 111, 459
86, 37, 153

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 258,111,459 By Matching Biggest Common Factor Method

Greatest Common Factor of 258,111,459 By Matching Biggest Common Factor Method

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Greatest Common Factor

We found the factors 258,111,459 . The biggest common factor number is the GCF number.
So the greatest common factor 258,111,459 is 3.

Lets's calculate LCM of 66,30,14

2 66, 30, 14
3 33, 15, 7
11, 5, 7

∴ So the LCM of the given numbers is 2 x 3 x 11 x 5 x 7 = 2310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2310

Therefore, the GCF of Fractions 258/66,111/30,459/14 is 3/2310

Least Common Multiple of 66,30,14 with GCF Formula

Least Common Multiple of 66,30,14 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 66,30,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,30,14) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(66,30,14) x common factors =2 x 6 = 12

LCM(66,30,14) = ( 66 × 30 × 14 ) / 12

LCM(66,30,14) = 27720 / 12

LCM(66,30,14) = 2310


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 258/66, 111/30, 459/14

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 258/66, 111/30, 459/14?

Answer: GCF of Numerators as per given numbers 258/66, 111/30, 459/14 is

GCF of Numerators i.e. for 258,111,459 is 3

LCM of denominators i.e. for 66,30,14 is 2310.

Thus, GCF of Fractions is 3/2310.Finally, GCF of Fractions for 258/66, 111/30, 459/14 is 3/2310.