Greatest Common Factor of 320/24, 730/1030

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 320/24, 730/1030

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 320/24,730/1030

Given fractions are 320/24,730/1030

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 320,730

Greatest Common Factor of Numerators i.e. GCF of 320,730 is 10 .

LCM of Denominators means LCM of 24,1030 as per the given fractions.

LCM of 24,1030 is 12360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 320,730

GCF of Fractions 320/24,730/1030 is 10/12360

2 320, 730
5 160, 365
32, 73

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

Greatest Common Factor of 320,730 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,730 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 730

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

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

Greatest Common Factor

We found the factors 320,730 . The biggest common factor number is the GCF number.
So the greatest common factor 320,730 is 10.

Lets's calculate LCM of 24,1030

2 24, 1030
12, 515

∴ So the LCM of the given numbers is 2 x 12 x 515 = 12360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/12360

Therefore, the GCF of Fractions 320/24,730/1030 is 10/12360

Least Common Multiple of 24,1030 with GCF Formula

Least Common Multiple of 24,1030 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 24,1030 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,1030) = 2

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

GCF(24,1030) x common factors =2 x 1 = 2

LCM(24,1030) = ( 24 × 1030 ) / 2

LCM(24,1030) = 24720 / 2

LCM(24,1030) = 12360


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 320/24, 730/1030

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 320/24, 730/1030?

Answer: GCF of Numerators as per given numbers 320/24, 730/1030 is

GCF of Numerators i.e. for 320,730 is 10

LCM of denominators i.e. for 24,1030 is 12360.

Thus, GCF of Fractions is 10/12360.Finally, GCF of Fractions for 320/24, 730/1030 is 10/12360.