Greatest Common Factor of 500/24, 310/7005

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 500/24, 310/7005

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 500/24,310/7005

Given fractions are 500/24,310/7005

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 500,310

Greatest Common Factor of Numerators i.e. GCF of 500,310 is 10 .

LCM of Denominators means LCM of 24,7005 as per the given fractions.

LCM of 24,7005 is 56040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 500,310

GCF of Fractions 500/24,310/7005 is 10/56040

2 500, 310
5 250, 155
50, 31

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

Greatest Common Factor of 500,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,310 By Matching Biggest Common Factor Method

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 500,310 . The biggest common factor number is the GCF number.
So the greatest common factor 500,310 is 10.

Lets's calculate LCM of 24,7005

3 24, 7005
8, 2335

∴ So the LCM of the given numbers is 3 x 8 x 2335 = 56040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/56040

Therefore, the GCF of Fractions 500/24,310/7005 is 10/56040

Least Common Multiple of 24,7005 with GCF Formula

Least Common Multiple of 24,7005 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 24,7005 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,7005) = 3

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

GCF(24,7005) x common factors =3 x 1 = 3

LCM(24,7005) = ( 24 × 7005 ) / 3

LCM(24,7005) = 168120 / 3

LCM(24,7005) = 56040


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 500/24, 310/7005

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 500/24, 310/7005?

Answer: GCF of Numerators as per given numbers 500/24, 310/7005 is

GCF of Numerators i.e. for 500,310 is 10

LCM of denominators i.e. for 24,7005 is 56040.

Thus, GCF of Fractions is 10/56040.Finally, GCF of Fractions for 500/24, 310/7005 is 10/56040.