How to Find GCF of 323/13, 665/8614?

GCF of 323/13, 665/8614

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 323/13, 665/8614 i.e 19/111982 easily. The following is the detailed procedure to determine the greatest common factor of fractions 323/13, 665/8614.

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 323/13,665/8614?

Given fractions are 323/13,665/8614

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 323/13,665/8614, numerators are 323,665

Denominators are 13,8614

The GCF of 323,665 is 19 .

LCM of 13,8614 is 111982.

The greatest common factor of 323/13,665/8614 = [GCF of 323,665]/[LCM of 13,8614]= 19/111982

Therefore, the GCF of 323/13,665/8614 is 19/111982.

Greatest Common Factor of 323,665

To find the highest common factor of 323,665, we have to find the factors of both numbers and list the highest common factor.

The factors of 323 are 1, 17, 19, 323

The factors of 665 are 1, 5, 7, 19, 35, 95, 133, 665

The HCF of 323,665 is 19.

Lets's calculate GCF of 323,665

Greatest Common Factor (GCF) of 323,665 By Common Division

19	323, 665
	17, 35

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 323,665 By Matching Biggest Common Factor Method

Now, list down the factors of 323

1,17,19,323

Now, list down the factors of 665

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 323,665 . The biggest common factor number is the GCF number.
So the greatest common factor 323,665 is 19.

Lets's calculate LCM of 13,8614

Lowest Common Multiple of 13,8614 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 111982

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/111982

Therefore, the GCF of Fractions 323/13,665/8614 is 19/111982

Least Common Multiple of 13,8614 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 13,8614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,8614) = 1

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

GCF(13,8614) x common factors =1 x 1 = 1

LCM(13,8614) = ( 13 × 8614 ) / 1

LCM(13,8614) = 111982 / 1

LCM(13,8614) = 111982

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 323/13, 665/8614

1. What is the HCF of 323,665?

The HCF of 323,665 is 19

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 323/13, 665/8614?

Answer: GCF of Numerators as per given numbers 323/13, 665/8614 is

GCF of Numerators i.e. for 323,665 is 19

LCM of denominators i.e. for 13,8614 is 111982.

Thus, GCF of Fractions is 19/111982.Finally, GCF of Fractions for 323/13, 665/8614 is 19/111982.