Greatest Common Factor of 2284/96, 9714/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2284/96, 9714/144

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 2284/96,9714/144

Given fractions are 2284/96,9714/144

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 2284,9714

Greatest Common Factor of Numerators i.e. GCF of 2284,9714 is 2 .

LCM of Denominators means LCM of 96,144 as per the given fractions.

LCM of 96,144 is 288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2284,9714

GCF of Fractions 2284/96,9714/144 is 2/288

2 2284, 9714
1142, 4857

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

Greatest Common Factor of 2284,9714 By Matching Biggest Common Factor Method

Greatest Common Factor of 2284,9714 By Matching Biggest Common Factor Method

Factors of 2284

List of positive integer factors of 2284 that divides 2284 without a remainder.

1,2,4,571,1142,2284

Factors of 9714

List of positive integer factors of 9714 that divides 9714 without a remainder.

1,2,3,6,1619,3238,4857,9714

Greatest Common Factor

We found the factors 2284,9714 . The biggest common factor number is the GCF number.
So the greatest common factor 2284,9714 is 2.

Lets's calculate LCM of 96,144

2 96, 144
2 48, 72
2 24, 36
2 12, 18
3 6, 9
2, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 2 x 3 = 288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/288

Therefore, the GCF of Fractions 2284/96,9714/144 is 2/288

Least Common Multiple of 96,144 with GCF Formula

Least Common Multiple of 96,144 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 96,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,144) = 48

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

GCF(96,144) x common factors =48 x 1 = 48

LCM(96,144) = ( 96 × 144 ) / 48

LCM(96,144) = 13824 / 48

LCM(96,144) = 288


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 2284/96, 9714/144

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 2284/96, 9714/144?

Answer: GCF of Numerators as per given numbers 2284/96, 9714/144 is

GCF of Numerators i.e. for 2284,9714 is 2

LCM of denominators i.e. for 96,144 is 288.

Thus, GCF of Fractions is 2/288.Finally, GCF of Fractions for 2284/96, 9714/144 is 2/288.