Greatest Common Factor of 3001/72, 2287/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3001/72, 2287/684

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 3001/72,2287/684

Given fractions are 3001/72,2287/684

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 3001,2287

Greatest Common Factor of Numerators i.e. GCF of 3001,2287 is 1 .

LCM of Denominators means LCM of 72,684 as per the given fractions.

LCM of 72,684 is 1368 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3001,2287

GCF of Fractions 3001/72,2287/684 is 1/1368

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

Greatest Common Factor of 3001,2287 By Matching Biggest Common Factor Method

Greatest Common Factor of 3001,2287 By Matching Biggest Common Factor Method

Factors of 3001

List of positive integer factors of 3001 that divides 3001 without a remainder.

1,3001

Factors of 2287

List of positive integer factors of 2287 that divides 2287 without a remainder.

1,2287

Greatest Common Factor

We found the factors 3001,2287 . The biggest common factor number is the GCF number.
So the greatest common factor 3001,2287 is 1.

Lets's calculate LCM of 72,684

2 72, 684
2 36, 342
3 18, 171
3 6, 57
2, 19

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 2 x 19 = 1368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1368

Therefore, the GCF of Fractions 3001/72,2287/684 is 1/1368

Least Common Multiple of 72,684 with GCF Formula

Least Common Multiple of 72,684 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 72,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,684) = 36

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

GCF(72,684) x common factors =36 x 1 = 36

LCM(72,684) = ( 72 × 684 ) / 36

LCM(72,684) = 49248 / 36

LCM(72,684) = 1368


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 3001/72, 2287/684

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 3001/72, 2287/684?

Answer: GCF of Numerators as per given numbers 3001/72, 2287/684 is

GCF of Numerators i.e. for 3001,2287 is 1

LCM of denominators i.e. for 72,684 is 1368.

Thus, GCF of Fractions is 1/1368.Finally, GCF of Fractions for 3001/72, 2287/684 is 1/1368.