How to Find GCF of 6513/978, 8255/2644?

GCF of 6513/978, 8255/2644

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 6513/978, 8255/2644 i.e 13/1292916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6513/978, 8255/2644.

Enter two or more fractions separated by "commas"

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

What is the GCF of 6513/978,8255/2644?

Given fractions are 6513/978,8255/2644

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 6513/978,8255/2644, numerators are 6513,8255

Denominators are 978,2644

The GCF of 6513,8255 is 13 .

LCM of 978,2644 is 1292916.

The greatest common factor of 6513/978,8255/2644 = [GCF of 6513,8255]/[LCM of 978,2644]= 13/1292916

Therefore, the GCF of 6513/978,8255/2644 is 13/1292916.

Greatest Common Factor of 6513,8255

To find the highest common factor of 6513,8255, we have to find the factors of both numbers and list the highest common factor.

The factors of 6513 are 1, 3, 13, 39, 167, 501, 2171, 6513

The factors of 8255 are 1, 5, 13, 65, 127, 635, 1651, 8255

The HCF of 6513,8255 is 13.

Lets's calculate GCF of 6513,8255

Greatest Common Factor (GCF) of 6513,8255 By Common Division

13	6513, 8255
	501, 635

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 6513,8255 By Matching Biggest Common Factor Method

Now, list down the factors of 6513

1,3,13,39,167,501,2171,6513

Now, list down the factors of 8255

1,5,13,65,127,635,1651,8255

Greatest Common Factor

We found the factors 6513,8255 . The biggest common factor number is the GCF number.
So the greatest common factor 6513,8255 is 13.

Lets's calculate LCM of 978,2644

Lowest Common Multiple of 978,2644 using Common Division

2	978, 2644
	489, 1322

∴ So the LCM of the given numbers is 2 x 489 x 1322 = 1292916

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1292916

Therefore, the GCF of Fractions 6513/978,8255/2644 is 13/1292916

Least Common Multiple of 978,2644 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 978,2644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,2644) = 2

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

GCF(978,2644) x common factors =2 x 1 = 2

LCM(978,2644) = ( 978 × 2644 ) / 2

LCM(978,2644) = 2585832 / 2

LCM(978,2644) = 1292916

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6513/978, 8255/2644

1. What is the HCF of 6513,8255?

The HCF of 6513,8255 is 13

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 6513/978, 8255/2644?

Answer: GCF of Numerators as per given numbers 6513/978, 8255/2644 is

GCF of Numerators i.e. for 6513,8255 is 13

LCM of denominators i.e. for 978,2644 is 1292916.

Thus, GCF of Fractions is 13/1292916.Finally, GCF of Fractions for 6513/978, 8255/2644 is 13/1292916.