Greatest Common Factor of 391/6004, 989/4002

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 391/6004, 989/4002

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 391/6004,989/4002

Given fractions are 391/6004,989/4002

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 391,989

Greatest Common Factor of Numerators i.e. GCF of 391,989 is 23 .

LCM of Denominators means LCM of 6004,4002 as per the given fractions.

LCM of 6004,4002 is 12014004 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 391,989

GCF of Fractions 391/6004,989/4002 is 23/12014004

23 391, 989
17, 43

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 391,989 By Matching Biggest Common Factor Method

Greatest Common Factor of 391,989 By Matching Biggest Common Factor Method

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Greatest Common Factor

We found the factors 391,989 . The biggest common factor number is the GCF number.
So the greatest common factor 391,989 is 23.

Lets's calculate LCM of 6004,4002

2 6004, 4002
3002, 2001

∴ So the LCM of the given numbers is 2 x 3002 x 2001 = 12014004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/12014004

Therefore, the GCF of Fractions 391/6004,989/4002 is 23/12014004

Least Common Multiple of 6004,4002 with GCF Formula

Least Common Multiple of 6004,4002 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 6004,4002 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6004,4002) = 2

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

GCF(6004,4002) x common factors =2 x 1 = 2

LCM(6004,4002) = ( 6004 × 4002 ) / 2

LCM(6004,4002) = 24028008 / 2

LCM(6004,4002) = 12014004


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 391/6004, 989/4002

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 391/6004, 989/4002?

Answer: GCF of Numerators as per given numbers 391/6004, 989/4002 is

GCF of Numerators i.e. for 391,989 is 23

LCM of denominators i.e. for 6004,4002 is 12014004.

Thus, GCF of Fractions is 23/12014004.Finally, GCF of Fractions for 391/6004, 989/4002 is 23/12014004.