Greatest Common Factor of 3001/960, 1204/5737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3001/960, 1204/5737

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 3001/960,1204/5737

Given fractions are 3001/960,1204/5737

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 3001,1204

Greatest Common Factor of Numerators i.e. GCF of 3001,1204 is 1 .

LCM of Denominators means LCM of 960,5737 as per the given fractions.

LCM of 960,5737 is 5507520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3001,1204

GCF of Fractions 3001/960,1204/5737 is 1/5507520

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

Greatest Common Factor of 3001,1204 By Matching Biggest Common Factor Method

Greatest Common Factor of 3001,1204 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 1204

List of positive integer factors of 1204 that divides 1204 without a remainder.

1,2,4,7,14,28,43,86,172,301,602,1204

Greatest Common Factor

We found the factors 3001,1204 . The biggest common factor number is the GCF number.
So the greatest common factor 3001,1204 is 1.

Lets's calculate LCM of 960,5737

Given numbers has no common factors except 1. So, there LCM is their product i.e 5507520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5507520

Therefore, the GCF of Fractions 3001/960,1204/5737 is 1/5507520

Least Common Multiple of 960,5737 with GCF Formula

Least Common Multiple of 960,5737 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 960,5737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,5737) = 1

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

GCF(960,5737) x common factors =1 x 1 = 1

LCM(960,5737) = ( 960 × 5737 ) / 1

LCM(960,5737) = 5507520 / 1

LCM(960,5737) = 5507520


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 3001/960, 1204/5737

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 3001/960, 1204/5737?

Answer: GCF of Numerators as per given numbers 3001/960, 1204/5737 is

GCF of Numerators i.e. for 3001,1204 is 1

LCM of denominators i.e. for 960,5737 is 5507520.

Thus, GCF of Fractions is 1/5507520.Finally, GCF of Fractions for 3001/960, 1204/5737 is 1/5507520.