Greatest Common Factor of 730/48, 250/78, 600/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 730/48, 250/78, 600/320

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 730/48,250/78,600/320

Given fractions are 730/48,250/78,600/320

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 730,250,600

Greatest Common Factor of Numerators i.e. GCF of 730,250,600 is 10 .

LCM of Denominators means LCM of 48,78,320 as per the given fractions.

LCM of 48,78,320 is 12480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 730,250,600

GCF of Fractions 730/48,250/78,600/320 is 10/12480

2 730, 250, 600
5 365, 125, 300
73, 25, 60

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

Greatest Common Factor of 730,250,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 730,250,600 By Matching Biggest Common Factor Method

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Greatest Common Factor

We found the factors 730,250,600 . The biggest common factor number is the GCF number.
So the greatest common factor 730,250,600 is 10.

Lets's calculate LCM of 48,78,320

2 48, 78, 320
2 24, 39, 160
2 12, 39, 80
2 6, 39, 40
3 3, 39, 20
1, 13, 20

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 1 x 13 x 20 = 12480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/12480

Therefore, the GCF of Fractions 730/48,250/78,600/320 is 10/12480

Least Common Multiple of 48,78,320 with GCF Formula

Least Common Multiple of 48,78,320 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 48,78,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,78,320) = 2

common factors(in case of two or more numbers have common factors) = 48

GCF(48,78,320) x common factors =2 x 48 = 96

LCM(48,78,320) = ( 48 × 78 × 320 ) / 96

LCM(48,78,320) = 1198080 / 96

LCM(48,78,320) = 12480


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 730/48, 250/78, 600/320

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 730/48, 250/78, 600/320?

Answer: GCF of Numerators as per given numbers 730/48, 250/78, 600/320 is

GCF of Numerators i.e. for 730,250,600 is 10

LCM of denominators i.e. for 48,78,320 is 12480.

Thus, GCF of Fractions is 10/12480.Finally, GCF of Fractions for 730/48, 250/78, 600/320 is 10/12480.