Greatest Common Factor of 24/164, 436/334, 258/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 24/164, 436/334, 258/522

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 24/164,436/334,258/522

Given fractions are 24/164,436/334,258/522

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 24,436,258

Greatest Common Factor of Numerators i.e. GCF of 24,436,258 is 2 .

LCM of Denominators means LCM of 164,334,522 as per the given fractions.

LCM of 164,334,522 is 7148268 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 24,436,258

GCF of Fractions 24/164,436/334,258/522 is 2/7148268

2 24, 436, 258
12, 218, 129

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

Greatest Common Factor of 24,436,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,436,258 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Factors of 258

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

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

Greatest Common Factor

We found the factors 24,436,258 . The biggest common factor number is the GCF number.
So the greatest common factor 24,436,258 is 2.

Lets's calculate LCM of 164,334,522

2 164, 334, 522
82, 167, 261

∴ So the LCM of the given numbers is 2 x 82 x 167 x 261 = 7148268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7148268

Therefore, the GCF of Fractions 24/164,436/334,258/522 is 2/7148268

Least Common Multiple of 164,334,522 with GCF Formula

Least Common Multiple of 164,334,522 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 164,334,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,334,522) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(164,334,522) x common factors =2 x 2 = 4

LCM(164,334,522) = ( 164 × 334 × 522 ) / 4

LCM(164,334,522) = 28593072 / 4

LCM(164,334,522) = 7148268


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 24/164, 436/334, 258/522

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 24/164, 436/334, 258/522?

Answer: GCF of Numerators as per given numbers 24/164, 436/334, 258/522 is

GCF of Numerators i.e. for 24,436,258 is 2

LCM of denominators i.e. for 164,334,522 is 7148268.

Thus, GCF of Fractions is 2/7148268.Finally, GCF of Fractions for 24/164, 436/334, 258/522 is 2/7148268.