Greatest Common Factor of 96/11, 82/24, 450/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 96/11, 82/24, 450/981

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 96/11,82/24,450/981

Given fractions are 96/11,82/24,450/981

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 96,82,450

Greatest Common Factor of Numerators i.e. GCF of 96,82,450 is 2 .

LCM of Denominators means LCM of 11,24,981 as per the given fractions.

LCM of 11,24,981 is 86328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 96,82,450

GCF of Fractions 96/11,82/24,450/981 is 2/86328

2 96, 82, 450
48, 41, 225

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

Greatest Common Factor of 96,82,450 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,82,450 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Greatest Common Factor

We found the factors 96,82,450 . The biggest common factor number is the GCF number.
So the greatest common factor 96,82,450 is 2.

Lets's calculate LCM of 11,24,981

3 11, 24, 981
11, 8, 327

∴ So the LCM of the given numbers is 3 x 11 x 8 x 327 = 86328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/86328

Therefore, the GCF of Fractions 96/11,82/24,450/981 is 2/86328

Least Common Multiple of 11,24,981 with GCF Formula

Least Common Multiple of 11,24,981 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 11,24,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,24,981) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(11,24,981) x common factors =1 x 3 = 3

LCM(11,24,981) = ( 11 × 24 × 981 ) / 3

LCM(11,24,981) = 258984 / 3

LCM(11,24,981) = 86328


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 96/11, 82/24, 450/981

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 96/11, 82/24, 450/981?

Answer: GCF of Numerators as per given numbers 96/11, 82/24, 450/981 is

GCF of Numerators i.e. for 96,82,450 is 2

LCM of denominators i.e. for 11,24,981 is 86328.

Thus, GCF of Fractions is 2/86328.Finally, GCF of Fractions for 96/11, 82/24, 450/981 is 2/86328.