How to Find GCF of 513/264, 395/872?

GCF of 513/264, 395/872

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 513/264, 395/872 i.e 1/28776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 513/264, 395/872.

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 513/264,395/872?

Given fractions are 513/264,395/872

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 513/264,395/872, numerators are 513,395

Denominators are 264,872

The GCF of 513,395 is 1 .

LCM of 264,872 is 28776.

The greatest common factor of 513/264,395/872 = [GCF of 513,395]/[LCM of 264,872]= 1/28776

Therefore, the GCF of 513/264,395/872 is 1/28776.

Greatest Common Factor of 513,395

To find the highest common factor of 513,395, we have to find the factors of both numbers and list the highest common factor.

The factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513

The factors of 395 are 1, 5, 79, 395

The HCF of 513,395 is 1.

Lets's calculate GCF of 513,395

Greatest Common Factor (GCF) of 513,395 By Common Division

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

Greatest Common Factor of 513,395 By Matching Biggest Common Factor Method

Now, list down the factors of 513

1,3,9,19,27,57,171,513

Now, list down the factors of 395

1,5,79,395

Greatest Common Factor

We found the factors 513,395 . The biggest common factor number is the GCF number.
So the greatest common factor 513,395 is 1.

Lets's calculate LCM of 264,872

Lowest Common Multiple of 264,872 using Common Division

2	264, 872
2	132, 436
2	66, 218
	33, 109

∴ So the LCM of the given numbers is 2 x 2 x 2 x 33 x 109 = 28776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28776

Therefore, the GCF of Fractions 513/264,395/872 is 1/28776

Least Common Multiple of 264,872 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 264,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,872) = 8

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

GCF(264,872) x common factors =8 x 1 = 8

LCM(264,872) = ( 264 × 872 ) / 8

LCM(264,872) = 230208 / 8

LCM(264,872) = 28776

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FAQs on GCF of Fractions of 513/264, 395/872

1. What is the HCF of 513,395?

The HCF of 513,395 is 1

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 513/264, 395/872?

Answer: GCF of Numerators as per given numbers 513/264, 395/872 is

GCF of Numerators i.e. for 513,395 is 1

LCM of denominators i.e. for 264,872 is 28776.

Thus, GCF of Fractions is 1/28776.Finally, GCF of Fractions for 513/264, 395/872 is 1/28776.