LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 41/330, 8230/4532

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 41/330, 8230/4532 i.e 1/67980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 41/330, 8230/4532.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 41/330,8230/4532?

Given fractions are 41/330,8230/4532

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 41/330,8230/4532, numerators are 41,8230

Denominators are 330,4532

The GCF of 41,8230 is 1 .

LCM of 330,4532 is 67980.

The greatest common factor of 41/330,8230/4532 = [GCF of 41,8230]/[LCM of 330,4532]= 1/67980

Therefore, the GCF of 41/330,8230/4532 is 1/67980.

Greatest Common Factor of 41,8230

To find the highest common factor of 41,8230, we have to find the factors of both numbers and list the highest common factor.

The factors of 41 are 1, 41

The factors of 8230 are 1, 2, 5, 10, 823, 1646, 4115, 8230

The HCF of 41,8230 is 1.

Lets's calculate GCF of 41,8230

Greatest Common Factor (GCF) of 41,8230 By Common Division

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

Greatest Common Factor of 41,8230 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,8230 By Matching Biggest Common Factor Method

Now, list down the factors of 41

:

1,41

Now, list down the factors of 8230

:

1,2,5,10,823,1646,4115,8230

Greatest Common Factor

We found the factors 41,8230 . The biggest common factor number is the GCF number.
So the greatest common factor 41,8230 is 1.

Lets's calculate LCM of 330,4532

Lowest Common Multiple of 330,4532 using Common Division

2 330, 4532
11 165, 2266
15, 206

∴ So the LCM of the given numbers is 2 x 11 x 15 x 206 = 67980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67980

Therefore, the GCF of Fractions 41/330,8230/4532 is 1/67980

Least Common Multiple of 330,4532 with GCF Formula

Least Common Multiple of 330,4532 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 330,4532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,4532) = 22

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

GCF(330,4532) x common factors =22 x 1 = 22

LCM(330,4532) = ( 330 × 4532 ) / 22

LCM(330,4532) = 1495560 / 22

LCM(330,4532) = 67980


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 41/330, 8230/4532

1. What is the HCF of 41,8230?

The HCF of 41,8230 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 41/330, 8230/4532?

Answer: GCF of Numerators as per given numbers 41/330, 8230/4532 is

GCF of Numerators i.e. for 41,8230 is 1

LCM of denominators i.e. for 330,4532 is 67980.

Thus, GCF of Fractions is 1/67980.Finally, GCF of Fractions for 41/330, 8230/4532 is 1/67980.