Greatest Common Factor of 325/48, 131/86, 814/48

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 325/48, 131/86, 814/48

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 325/48,131/86,814/48

Given fractions are 325/48,131/86,814/48

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 325,131,814

Greatest Common Factor of Numerators i.e. GCF of 325,131,814 is 1 .

LCM of Denominators means LCM of 48,86,48 as per the given fractions.

LCM of 48,86,48 is 2064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 325,131,814

GCF of Fractions 325/48,131/86,814/48 is 1/2064

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 325,131,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 325,131,814 By Matching Biggest Common Factor Method

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 325,131,814 . The biggest common factor number is the GCF number.
So the greatest common factor 325,131,814 is 1.

Lets's calculate LCM of 48,86,48

2 48, 86, 48
2 24, 43, 24
2 12, 43, 12
2 6, 43, 6
3 3, 43, 3
1, 43, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 1 x 43 x 1 = 2064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2064

Therefore, the GCF of Fractions 325/48,131/86,814/48 is 1/2064

Least Common Multiple of 48,86,48 with GCF Formula

Least Common Multiple of 48,86,48 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 48,86,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,86,48) = 2

common factors(in case of two or more numbers have common factors) = 48

GCF(48,86,48) x common factors =2 x 48 = 96

LCM(48,86,48) = ( 48 × 86 × 48 ) / 96

LCM(48,86,48) = 198144 / 96

LCM(48,86,48) = 2064


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 325/48, 131/86, 814/48

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 325/48, 131/86, 814/48?

Answer: GCF of Numerators as per given numbers 325/48, 131/86, 814/48 is

GCF of Numerators i.e. for 325,131,814 is 1

LCM of denominators i.e. for 48,86,48 is 2064.

Thus, GCF of Fractions is 1/2064.Finally, GCF of Fractions for 325/48, 131/86, 814/48 is 1/2064.