Greatest Common Factor of 3939/422, 5929/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3939/422, 5929/990

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 3939/422,5929/990

Given fractions are 3939/422,5929/990

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 3939,5929

Greatest Common Factor of Numerators i.e. GCF of 3939,5929 is 1 .

LCM of Denominators means LCM of 422,990 as per the given fractions.

LCM of 422,990 is 208890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3939,5929

GCF of Fractions 3939/422,5929/990 is 1/208890

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

Greatest Common Factor of 3939,5929 By Matching Biggest Common Factor Method

Greatest Common Factor of 3939,5929 By Matching Biggest Common Factor Method

Factors of 3939

List of positive integer factors of 3939 that divides 3939 without a remainder.

1,3,13,39,101,303,1313,3939

Factors of 5929

List of positive integer factors of 5929 that divides 5929 without a remainder.

1,7,11,49,77,121,539,847,5929

Greatest Common Factor

We found the factors 3939,5929 . The biggest common factor number is the GCF number.
So the greatest common factor 3939,5929 is 1.

Lets's calculate LCM of 422,990

2 422, 990
211, 495

∴ So the LCM of the given numbers is 2 x 211 x 495 = 208890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208890

Therefore, the GCF of Fractions 3939/422,5929/990 is 1/208890

Least Common Multiple of 422,990 with GCF Formula

Least Common Multiple of 422,990 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 422,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,990) = 2

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

GCF(422,990) x common factors =2 x 1 = 2

LCM(422,990) = ( 422 × 990 ) / 2

LCM(422,990) = 417780 / 2

LCM(422,990) = 208890


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 3939/422, 5929/990

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 3939/422, 5929/990?

Answer: GCF of Numerators as per given numbers 3939/422, 5929/990 is

GCF of Numerators i.e. for 3939,5929 is 1

LCM of denominators i.e. for 422,990 is 208890.

Thus, GCF of Fractions is 1/208890.Finally, GCF of Fractions for 3939/422, 5929/990 is 1/208890.