Greatest Common Factor of 96/96, 12/65, 429/227

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 96/96, 12/65, 429/227

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 96/96,12/65,429/227

Given fractions are 96/96,12/65,429/227

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 96,12,429

Greatest Common Factor of Numerators i.e. GCF of 96,12,429 is 3 .

LCM of Denominators means LCM of 96,65,227 as per the given fractions.

LCM of 96,65,227 is 1416480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 96,12,429

GCF of Fractions 96/96,12/65,429/227 is 3/1416480

3 96, 12, 429
32, 4, 143

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 96,12,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,12,429 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 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 96,12,429 . The biggest common factor number is the GCF number.
So the greatest common factor 96,12,429 is 3.

Lets's calculate LCM of 96,65,227

Given numbers has no common factors except 1. So, there LCM is their product i.e 1416480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1416480

Therefore, the GCF of Fractions 96/96,12/65,429/227 is 3/1416480

Least Common Multiple of 96,65,227 with GCF Formula

Least Common Multiple of 96,65,227 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 96,65,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,65,227) = 1

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

GCF(96,65,227) x common factors =1 x 1 = 1

LCM(96,65,227) = ( 96 × 65 × 227 ) / 1

LCM(96,65,227) = 1416480 / 1

LCM(96,65,227) = 1416480


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 96/96, 12/65, 429/227

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 96/96, 12/65, 429/227?

Answer: GCF of Numerators as per given numbers 96/96, 12/65, 429/227 is

GCF of Numerators i.e. for 96,12,429 is 3

LCM of denominators i.e. for 96,65,227 is 1416480.

Thus, GCF of Fractions is 3/1416480.Finally, GCF of Fractions for 96/96, 12/65, 429/227 is 3/1416480.