How to Find GCF of 325/12, 519/462?

GCF of 325/12, 519/462

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 325/12, 519/462 i.e 1/924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 325/12, 519/462.

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 325/12,519/462?

Given fractions are 325/12,519/462

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 325/12,519/462, numerators are 325,519

Denominators are 12,462

The GCF of 325,519 is 1 .

LCM of 12,462 is 924.

The greatest common factor of 325/12,519/462 = [GCF of 325,519]/[LCM of 12,462]= 1/924

Therefore, the GCF of 325/12,519/462 is 1/924.

Greatest Common Factor of 325,519

To find the highest common factor of 325,519, we have to find the factors of both numbers and list the highest common factor.

The factors of 325 are 1, 5, 13, 25, 65, 325

The factors of 519 are 1, 3, 173, 519

The HCF of 325,519 is 1.

Lets's calculate GCF of 325,519

Greatest Common Factor (GCF) of 325,519 By Common Division

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

Greatest Common Factor of 325,519 By Matching Biggest Common Factor Method

Now, list down the factors of 325

1,5,13,25,65,325

Now, list down the factors of 519

1,3,173,519

Greatest Common Factor

We found the factors 325,519 . The biggest common factor number is the GCF number.
So the greatest common factor 325,519 is 1.

Lets's calculate LCM of 12,462

Lowest Common Multiple of 12,462 using Common Division

2	12, 462
3	6, 231
	2, 77

∴ So the LCM of the given numbers is 2 x 3 x 2 x 77 = 924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/924

Therefore, the GCF of Fractions 325/12,519/462 is 1/924

Least Common Multiple of 12,462 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 12,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,462) = 6

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

GCF(12,462) x common factors =6 x 1 = 6

LCM(12,462) = ( 12 × 462 ) / 6

LCM(12,462) = 5544 / 6

LCM(12,462) = 924

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 325/12, 519/462

1. What is the HCF of 325,519?

The HCF of 325,519 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 325/12, 519/462?

Answer: GCF of Numerators as per given numbers 325/12, 519/462 is

GCF of Numerators i.e. for 325,519 is 1

LCM of denominators i.e. for 12,462 is 924.

Thus, GCF of Fractions is 1/924.Finally, GCF of Fractions for 325/12, 519/462 is 1/924.