Greatest Common Factor of 4001/482, 6666/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 4001/482, 6666/350

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 4001/482,6666/350

Given fractions are 4001/482,6666/350

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 4001,6666

Greatest Common Factor of Numerators i.e. GCF of 4001,6666 is 1 .

LCM of Denominators means LCM of 482,350 as per the given fractions.

LCM of 482,350 is 84350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4001,6666

GCF of Fractions 4001/482,6666/350 is 1/84350

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

Greatest Common Factor of 4001,6666 By Matching Biggest Common Factor Method

Greatest Common Factor of 4001,6666 By Matching Biggest Common Factor Method

Factors of 4001

List of positive integer factors of 4001 that divides 4001 without a remainder.

1,4001

Factors of 6666

List of positive integer factors of 6666 that divides 6666 without a remainder.

1,2,3,6,11,22,33,66,101,202,303,606,1111,2222,3333,6666

Greatest Common Factor

We found the factors 4001,6666 . The biggest common factor number is the GCF number.
So the greatest common factor 4001,6666 is 1.


Lets's calculate LCM of 482,350

2 482, 350
241, 175

∴ So the LCM of the given numbers is 2 x 241 x 175 = 84350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84350

Therefore, the GCF of Fractions 4001/482,6666/350 is 1/84350

Least Common Multiple of 482,350 with GCF Formula

Least Common Multiple of 482,350 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 482,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(482,350) = 2

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

GCF(482,350) x common factors =2 x 1 = 2

LCM(482,350) = ( 482 × 350 ) / 2

LCM(482,350) = 168700 / 2

LCM(482,350) = 84350


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 4001/482, 6666/350

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 4001/482, 6666/350?

Answer: GCF of Numerators as per given numbers 4001/482, 6666/350 is

GCF of Numerators i.e. for 4001,6666 is 1

LCM of denominators i.e. for 482,350 is 84350.

Thus, GCF of Fractions is 1/84350.Finally, GCF of Fractions for 4001/482, 6666/350 is 1/84350.