Greatest Common Factor of 480/32, 764/85, 125/57

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 480/32, 764/85, 125/57

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 480/32,764/85,125/57

Given fractions are 480/32,764/85,125/57

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 480,764,125

Greatest Common Factor of Numerators i.e. GCF of 480,764,125 is 1 .

LCM of Denominators means LCM of 32,85,57 as per the given fractions.

LCM of 32,85,57 is 155040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 480,764,125

GCF of Fractions 480/32,764/85,125/57 is 1/155040

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

Greatest Common Factor of 480,764,125 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,764,125 By Matching Biggest Common Factor Method

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

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

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Greatest Common Factor

We found the factors 480,764,125 . The biggest common factor number is the GCF number.
So the greatest common factor 480,764,125 is 1.

Lets's calculate LCM of 32,85,57

Given numbers has no common factors except 1. So, there LCM is their product i.e 155040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155040

Therefore, the GCF of Fractions 480/32,764/85,125/57 is 1/155040

Least Common Multiple of 32,85,57 with GCF Formula

Least Common Multiple of 32,85,57 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 32,85,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,85,57) = 1

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

GCF(32,85,57) x common factors =1 x 1 = 1

LCM(32,85,57) = ( 32 × 85 × 57 ) / 1

LCM(32,85,57) = 155040 / 1

LCM(32,85,57) = 155040


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 480/32, 764/85, 125/57

1. 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.

2. What is the GCF of Fractions for 480/32, 764/85, 125/57?

Answer: GCF of Numerators as per given numbers 480/32, 764/85, 125/57 is

GCF of Numerators i.e. for 480,764,125 is 1

LCM of denominators i.e. for 32,85,57 is 155040.

Thus, GCF of Fractions is 1/155040.Finally, GCF of Fractions for 480/32, 764/85, 125/57 is 1/155040.