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GCF of 2005/529, 3905/816

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 2005/529, 3905/816 i.e 5/431664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2005/529, 3905/816.

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 2005/529,3905/816?

Given fractions are 2005/529,3905/816

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 2005/529,3905/816, numerators are 2005,3905

Denominators are 529,816

The GCF of 2005,3905 is 5 .

LCM of 529,816 is 431664.

The greatest common factor of 2005/529,3905/816 = [GCF of 2005,3905]/[LCM of 529,816]= 5/431664

Therefore, the GCF of 2005/529,3905/816 is 5/431664.

Greatest Common Factor of 2005,3905

To find the highest common factor of 2005,3905, we have to find the factors of both numbers and list the highest common factor.

The factors of 2005 are 1, 5, 401, 2005

The factors of 3905 are 1, 5, 11, 55, 71, 355, 781, 3905

The HCF of 2005,3905 is 5.

Lets's calculate GCF of 2005,3905

Greatest Common Factor (GCF) of 2005,3905 By Common Division

5 2005, 3905
401, 781

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 2005,3905 By Matching Biggest Common Factor Method

Greatest Common Factor of 2005,3905 By Matching Biggest Common Factor Method

Now, list down the factors of 2005

:

1,5,401,2005

Now, list down the factors of 3905

:

1,5,11,55,71,355,781,3905

Greatest Common Factor

We found the factors 2005,3905 . The biggest common factor number is the GCF number.
So the greatest common factor 2005,3905 is 5.

Lets's calculate LCM of 529,816

Lowest Common Multiple of 529,816 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 431664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/431664

Therefore, the GCF of Fractions 2005/529,3905/816 is 5/431664

Least Common Multiple of 529,816 with GCF Formula

Least Common Multiple of 529,816 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 529,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(529,816) = 1

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

GCF(529,816) x common factors =1 x 1 = 1

LCM(529,816) = ( 529 × 816 ) / 1

LCM(529,816) = 431664 / 1

LCM(529,816) = 431664


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2005/529, 3905/816

1. What is the HCF of 2005,3905?

The HCF of 2005,3905 is 5

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 2005/529, 3905/816?

Answer: GCF of Numerators as per given numbers 2005/529, 3905/816 is

GCF of Numerators i.e. for 2005,3905 is 5

LCM of denominators i.e. for 529,816 is 431664.

Thus, GCF of Fractions is 5/431664.Finally, GCF of Fractions for 2005/529, 3905/816 is 5/431664.