Greatest Common Factor of 258/48, 300/4296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 258/48, 300/4296

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 258/48,300/4296

Given fractions are 258/48,300/4296

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 258,300

Greatest Common Factor of Numerators i.e. GCF of 258,300 is 6 .

LCM of Denominators means LCM of 48,4296 as per the given fractions.

LCM of 48,4296 is 8592 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 258,300

GCF of Fractions 258/48,300/4296 is 6/8592

2 258, 300
3 129, 150
43, 50

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 258,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 258,300 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 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 258,300 . The biggest common factor number is the GCF number.
So the greatest common factor 258,300 is 6.

Lets's calculate LCM of 48,4296

2 48, 4296
2 24, 2148
2 12, 1074
3 6, 537
2, 179

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 2 x 179 = 8592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/8592

Therefore, the GCF of Fractions 258/48,300/4296 is 6/8592

Least Common Multiple of 48,4296 with GCF Formula

Least Common Multiple of 48,4296 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 48,4296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,4296) = 24

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

GCF(48,4296) x common factors =24 x 1 = 24

LCM(48,4296) = ( 48 × 4296 ) / 24

LCM(48,4296) = 206208 / 24

LCM(48,4296) = 8592


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 258/48, 300/4296

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 258/48, 300/4296?

Answer: GCF of Numerators as per given numbers 258/48, 300/4296 is

GCF of Numerators i.e. for 258,300 is 6

LCM of denominators i.e. for 48,4296 is 8592.

Thus, GCF of Fractions is 6/8592.Finally, GCF of Fractions for 258/48, 300/4296 is 6/8592.