How to Find GCF of 513/992, 383/766, 320/573?

GCF of 513/992, 383/766, 320/573

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 513/992, 383/766, 320/573 i.e 1/217703328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 513/992, 383/766, 320/573.

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 513/992,383/766,320/573?

Given fractions are 513/992,383/766,320/573

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 513/992,383/766,320/573, numerators are 513,383,320

Denominators are 992,766,573

The GCF of 513,383,320 is 1 .

LCM of 992,766,573 is 217703328.

The greatest common factor of 513/992,383/766,320/573 = [GCF of 513,383,320]/[LCM of 992,766,573]= 1/217703328

Therefore, the GCF of 513/992,383/766,320/573 is 1/217703328.

Greatest Common Factor of 513,383,320

To find the highest common factor of 513,383,320, 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 383 are 1, 383

The factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

The HCF of 513,383,320 is 1.

Lets's calculate GCF of 513,383,320

Greatest Common Factor (GCF) of 513,383,320 By Common Division

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

Greatest Common Factor of 513,383,320 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 383

1,383

Now, list down the factors of 320

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 513,383,320 . The biggest common factor number is the GCF number.
So the greatest common factor 513,383,320 is 1.

Lets's calculate LCM of 992,766,573

Lowest Common Multiple of 992,766,573 using Common Division

2	992, 766, 573
	496, 383, 573

∴ So the LCM of the given numbers is 2 x 496 x 383 x 573 = 217703328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/217703328

Therefore, the GCF of Fractions 513/992,383/766,320/573 is 1/217703328

Least Common Multiple of 992,766,573 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 992,766,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,766,573) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(992,766,573) x common factors =1 x 2 = 2

LCM(992,766,573) = ( 992 × 766 × 573 ) / 2

LCM(992,766,573) = 435406656 / 2

LCM(992,766,573) = 217703328

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 513/992, 383/766, 320/573

1. What is the HCF of 513,383,320?

The HCF of 513,383,320 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 513/992, 383/766, 320/573?

Answer: GCF of Numerators as per given numbers 513/992, 383/766, 320/573 is

GCF of Numerators i.e. for 513,383,320 is 1

LCM of denominators i.e. for 992,766,573 is 217703328.

Thus, GCF of Fractions is 1/217703328.Finally, GCF of Fractions for 513/992, 383/766, 320/573 is 1/217703328.