Greatest Common Factor of 484/66, 848/96, 530/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 484/66, 848/96, 530/231

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 484/66,848/96,530/231

Given fractions are 484/66,848/96,530/231

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 484,848,530

Greatest Common Factor of Numerators i.e. GCF of 484,848,530 is 2 .

LCM of Denominators means LCM of 66,96,231 as per the given fractions.

LCM of 66,96,231 is 7392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 484,848,530

GCF of Fractions 484/66,848/96,530/231 is 2/7392

2 484, 848, 530
242, 424, 265

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

Greatest Common Factor of 484,848,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,848,530 By Matching Biggest Common Factor Method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 484,848,530 . The biggest common factor number is the GCF number.
So the greatest common factor 484,848,530 is 2.

Lets's calculate LCM of 66,96,231

2 66, 96, 231
3 33, 48, 231
11 11, 16, 77
1, 16, 7

∴ So the LCM of the given numbers is 2 x 3 x 11 x 1 x 16 x 7 = 7392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7392

Therefore, the GCF of Fractions 484/66,848/96,530/231 is 2/7392

Least Common Multiple of 66,96,231 with GCF Formula

Least Common Multiple of 66,96,231 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 66,96,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,96,231) = 3

common factors(in case of two or more numbers have common factors) = 66

GCF(66,96,231) x common factors =3 x 66 = 198

LCM(66,96,231) = ( 66 × 96 × 231 ) / 198

LCM(66,96,231) = 1463616 / 198

LCM(66,96,231) = 7392


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 484/66, 848/96, 530/231

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 484/66, 848/96, 530/231?

Answer: GCF of Numerators as per given numbers 484/66, 848/96, 530/231 is

GCF of Numerators i.e. for 484,848,530 is 2

LCM of denominators i.e. for 66,96,231 is 7392.

Thus, GCF of Fractions is 2/7392.Finally, GCF of Fractions for 484/66, 848/96, 530/231 is 2/7392.