LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 54/440, 2644/5903

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 54/440, 2644/5903 i.e 2/2597320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 54/440, 2644/5903.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 54/440,2644/5903?

Given fractions are 54/440,2644/5903

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 54/440,2644/5903, numerators are 54,2644

Denominators are 440,5903

The GCF of 54,2644 is 2 .

LCM of 440,5903 is 2597320.

The greatest common factor of 54/440,2644/5903 = [GCF of 54,2644]/[LCM of 440,5903]= 2/2597320

Therefore, the GCF of 54/440,2644/5903 is 2/2597320.

Greatest Common Factor of 54,2644

To find the highest common factor of 54,2644, we have to find the factors of both numbers and list the highest common factor.

The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54

The factors of 2644 are 1, 2, 4, 661, 1322, 2644

The HCF of 54,2644 is 2.

Lets's calculate GCF of 54,2644

Greatest Common Factor (GCF) of 54,2644 By Common Division

2 54, 2644
27, 1322

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 54,2644 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,2644 By Matching Biggest Common Factor Method

Now, list down the factors of 54

:

1,2,3,6,9,18,27,54

Now, list down the factors of 2644

:

1,2,4,661,1322,2644

Greatest Common Factor

We found the factors 54,2644 . The biggest common factor number is the GCF number.
So the greatest common factor 54,2644 is 2.

Lets's calculate LCM of 440,5903

Lowest Common Multiple of 440,5903 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2597320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2597320

Therefore, the GCF of Fractions 54/440,2644/5903 is 2/2597320

Least Common Multiple of 440,5903 with GCF Formula

Least Common Multiple of 440,5903 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 440,5903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(440,5903) = 1

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

GCF(440,5903) x common factors =1 x 1 = 1

LCM(440,5903) = ( 440 × 5903 ) / 1

LCM(440,5903) = 2597320 / 1

LCM(440,5903) = 2597320


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 54/440, 2644/5903

1. What is the HCF of 54,2644?

The HCF of 54,2644 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 54/440, 2644/5903?

Answer: GCF of Numerators as per given numbers 54/440, 2644/5903 is

GCF of Numerators i.e. for 54,2644 is 2

LCM of denominators i.e. for 440,5903 is 2597320.

Thus, GCF of Fractions is 2/2597320.Finally, GCF of Fractions for 54/440, 2644/5903 is 2/2597320.