Greatest Common Factor of 440/54, 890/3939

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 440/54, 890/3939

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 440/54,890/3939

Given fractions are 440/54,890/3939

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 440,890

Greatest Common Factor of Numerators i.e. GCF of 440,890 is 10 .

LCM of Denominators means LCM of 54,3939 as per the given fractions.

LCM of 54,3939 is 70902 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 440,890

GCF of Fractions 440/54,890/3939 is 10/70902

2 440, 890
5 220, 445
44, 89

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 440,890 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,890 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Greatest Common Factor

We found the factors 440,890 . The biggest common factor number is the GCF number.
So the greatest common factor 440,890 is 10.

Lets's calculate LCM of 54,3939

3 54, 3939
18, 1313

∴ So the LCM of the given numbers is 3 x 18 x 1313 = 70902

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/70902

Therefore, the GCF of Fractions 440/54,890/3939 is 10/70902

Least Common Multiple of 54,3939 with GCF Formula

Least Common Multiple of 54,3939 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 54,3939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,3939) = 3

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

GCF(54,3939) x common factors =3 x 1 = 3

LCM(54,3939) = ( 54 × 3939 ) / 3

LCM(54,3939) = 212706 / 3

LCM(54,3939) = 70902


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 440/54, 890/3939

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 440/54, 890/3939?

Answer: GCF of Numerators as per given numbers 440/54, 890/3939 is

GCF of Numerators i.e. for 440,890 is 10

LCM of denominators i.e. for 54,3939 is 70902.

Thus, GCF of Fractions is 10/70902.Finally, GCF of Fractions for 440/54, 890/3939 is 10/70902.