How to Find GCF of 480/384, 832/365?

GCF of 480/384, 832/365

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 480/384, 832/365 i.e 32/140160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 480/384, 832/365.

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 480/384,832/365?

Given fractions are 480/384,832/365

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 480/384,832/365, numerators are 480,832

Denominators are 384,365

The GCF of 480,832 is 32 .

LCM of 384,365 is 140160.

The greatest common factor of 480/384,832/365 = [GCF of 480,832]/[LCM of 384,365]= 32/140160

Therefore, the GCF of 480/384,832/365 is 32/140160.

Greatest Common Factor of 480,832

To find the highest common factor of 480,832, we have to find the factors of both numbers and list the highest common factor.

The factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

The factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

The HCF of 480,832 is 32.

Lets's calculate GCF of 480,832

Greatest Common Factor (GCF) of 480,832 By Common Division

2	480, 832
2	240, 416
2	120, 208
2	60, 104
2	30, 52
	15, 26

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Greatest Common Factor of 480,832 By Matching Biggest Common Factor Method

Now, list down the factors of 480

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Now, list down the factors of 832

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 480,832 . The biggest common factor number is the GCF number.
So the greatest common factor 480,832 is 32.

Lets's calculate LCM of 384,365

Lowest Common Multiple of 384,365 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 140160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/140160

Therefore, the GCF of Fractions 480/384,832/365 is 32/140160

Least Common Multiple of 384,365 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 384,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,365) = 1

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

GCF(384,365) x common factors =1 x 1 = 1

LCM(384,365) = ( 384 × 365 ) / 1

LCM(384,365) = 140160 / 1

LCM(384,365) = 140160

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 480/384, 832/365

1. What is the HCF of 480,832?

The HCF of 480,832 is 32

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 480/384, 832/365?

Answer: GCF of Numerators as per given numbers 480/384, 832/365 is

GCF of Numerators i.e. for 480,832 is 32

LCM of denominators i.e. for 384,365 is 140160.

Thus, GCF of Fractions is 32/140160.Finally, GCF of Fractions for 480/384, 832/365 is 32/140160.