How to Find GCF of 12/479, 915/817, 521/713?

GCF of 12/479, 915/817, 521/713

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 12/479, 915/817, 521/713 i.e 1/279027559 easily. The following is the detailed procedure to determine the greatest common factor of fractions 12/479, 915/817, 521/713.

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 12/479,915/817,521/713?

Given fractions are 12/479,915/817,521/713

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 12/479,915/817,521/713, numerators are 12,915,521

Denominators are 479,817,713

The GCF of 12,915,521 is 1 .

LCM of 479,817,713 is 279027559.

The greatest common factor of 12/479,915/817,521/713 = [GCF of 12,915,521]/[LCM of 479,817,713]= 1/279027559

Therefore, the GCF of 12/479,915/817,521/713 is 1/279027559.

Greatest Common Factor of 12,915,521

To find the highest common factor of 12,915,521, we have to find the factors of both numbers and list the highest common factor.

The factors of 12 are 1, 2, 3, 4, 6, 12

The factors of 915 are 1, 3, 5, 15, 61, 183, 305, 915

The factors of 521 are 1, 521

The HCF of 12,915,521 is 1.

Lets's calculate GCF of 12,915,521

Greatest Common Factor (GCF) of 12,915,521 By Common Division

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

Greatest Common Factor of 12,915,521 By Matching Biggest Common Factor Method

Now, list down the factors of 12

1,2,3,4,6,12

Now, list down the factors of 915

1,3,5,15,61,183,305,915

Now, list down the factors of 521

1,521

Greatest Common Factor

We found the factors 12,915,521 . The biggest common factor number is the GCF number.
So the greatest common factor 12,915,521 is 1.

Lets's calculate LCM of 479,817,713

Lowest Common Multiple of 479,817,713 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 279027559

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/279027559

Therefore, the GCF of Fractions 12/479,915/817,521/713 is 1/279027559

Least Common Multiple of 479,817,713 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 479,817,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(479,817,713) = 1

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

GCF(479,817,713) x common factors =1 x 1 = 1

LCM(479,817,713) = ( 479 × 817 × 713 ) / 1

LCM(479,817,713) = 279027559 / 1

LCM(479,817,713) = 279027559

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FAQs on GCF of Fractions of 12/479, 915/817, 521/713

1. What is the HCF of 12,915,521?

The HCF of 12,915,521 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 12/479, 915/817, 521/713?

Answer: GCF of Numerators as per given numbers 12/479, 915/817, 521/713 is

GCF of Numerators i.e. for 12,915,521 is 1

LCM of denominators i.e. for 479,817,713 is 279027559.

Thus, GCF of Fractions is 1/279027559.Finally, GCF of Fractions for 12/479, 915/817, 521/713 is 1/279027559.