How to Find GCF of 330/886, 4130/541?

GCF of 330/886, 4130/541

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 330/886, 4130/541 i.e 10/479326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 330/886, 4130/541.

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 330/886,4130/541?

Given fractions are 330/886,4130/541

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 330/886,4130/541, numerators are 330,4130

Denominators are 886,541

The GCF of 330,4130 is 10 .

LCM of 886,541 is 479326.

The greatest common factor of 330/886,4130/541 = [GCF of 330,4130]/[LCM of 886,541]= 10/479326

Therefore, the GCF of 330/886,4130/541 is 10/479326.

Greatest Common Factor of 330,4130

To find the highest common factor of 330,4130, we have to find the factors of both numbers and list the highest common factor.

The factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

The factors of 4130 are 1, 2, 5, 7, 10, 14, 35, 59, 70, 118, 295, 413, 590, 826, 2065, 4130

The HCF of 330,4130 is 10.

Lets's calculate GCF of 330,4130

Greatest Common Factor (GCF) of 330,4130 By Common Division

2	330, 4130
5	165, 2065
	33, 413

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 330,4130 By Matching Biggest Common Factor Method

Now, list down the factors of 330

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Now, list down the factors of 4130

1,2,5,7,10,14,35,59,70,118,295,413,590,826,2065,4130

Greatest Common Factor

We found the factors 330,4130 . The biggest common factor number is the GCF number.
So the greatest common factor 330,4130 is 10.

Lets's calculate LCM of 886,541

Lowest Common Multiple of 886,541 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 479326

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/479326

Therefore, the GCF of Fractions 330/886,4130/541 is 10/479326

Least Common Multiple of 886,541 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 886,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(886,541) = 1

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

GCF(886,541) x common factors =1 x 1 = 1

LCM(886,541) = ( 886 × 541 ) / 1

LCM(886,541) = 479326 / 1

LCM(886,541) = 479326

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 330/886, 4130/541

1. What is the HCF of 330,4130?

The HCF of 330,4130 is 10

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 330/886, 4130/541?

Answer: GCF of Numerators as per given numbers 330/886, 4130/541 is

GCF of Numerators i.e. for 330,4130 is 10

LCM of denominators i.e. for 886,541 is 479326.

Thus, GCF of Fractions is 10/479326.Finally, GCF of Fractions for 330/886, 4130/541 is 10/479326.