Greatest Common Factor of 480/766, 984/925, 375/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 480/766, 984/925, 375/984

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 480/766,984/925,375/984

Given fractions are 480/766,984/925,375/984

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 480,984,375

Greatest Common Factor of Numerators i.e. GCF of 480,984,375 is 3 .

LCM of Denominators means LCM of 766,925,984 as per the given fractions.

LCM of 766,925,984 is 348606600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 480,984,375

GCF of Fractions 480/766,984/925,375/984 is 3/348606600

3 480, 984, 375
160, 328, 125

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 480,984,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,984,375 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 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 480,984,375 . The biggest common factor number is the GCF number.
So the greatest common factor 480,984,375 is 3.

Lets's calculate LCM of 766,925,984

2 766, 925, 984
383, 925, 492

∴ So the LCM of the given numbers is 2 x 383 x 925 x 492 = 348606600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/348606600

Therefore, the GCF of Fractions 480/766,984/925,375/984 is 3/348606600

Least Common Multiple of 766,925,984 with GCF Formula

Least Common Multiple of 766,925,984 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 766,925,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,925,984) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(766,925,984) x common factors =1 x 2 = 2

LCM(766,925,984) = ( 766 × 925 × 984 ) / 2

LCM(766,925,984) = 697213200 / 2

LCM(766,925,984) = 348606600


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 480/766, 984/925, 375/984

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 480/766, 984/925, 375/984?

Answer: GCF of Numerators as per given numbers 480/766, 984/925, 375/984 is

GCF of Numerators i.e. for 480,984,375 is 3

LCM of denominators i.e. for 766,925,984 is 348606600.

Thus, GCF of Fractions is 3/348606600.Finally, GCF of Fractions for 480/766, 984/925, 375/984 is 3/348606600.