Greatest Common Factor of 502/18, 236/3040

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 502/18, 236/3040

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 502/18,236/3040

Given fractions are 502/18,236/3040

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 502,236

Greatest Common Factor of Numerators i.e. GCF of 502,236 is 2 .

LCM of Denominators means LCM of 18,3040 as per the given fractions.

LCM of 18,3040 is 27360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 502,236

GCF of Fractions 502/18,236/3040 is 2/27360

2 502, 236
251, 118

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 502,236 By Matching Biggest Common Factor Method

Greatest Common Factor of 502,236 By Matching Biggest Common Factor Method

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Greatest Common Factor

We found the factors 502,236 . The biggest common factor number is the GCF number.
So the greatest common factor 502,236 is 2.

Lets's calculate LCM of 18,3040

2 18, 3040
9, 1520

∴ So the LCM of the given numbers is 2 x 9 x 1520 = 27360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27360

Therefore, the GCF of Fractions 502/18,236/3040 is 2/27360

Least Common Multiple of 18,3040 with GCF Formula

Least Common Multiple of 18,3040 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 18,3040 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,3040) = 2

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

GCF(18,3040) x common factors =2 x 1 = 2

LCM(18,3040) = ( 18 × 3040 ) / 2

LCM(18,3040) = 54720 / 2

LCM(18,3040) = 27360


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 502/18, 236/3040

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 502/18, 236/3040?

Answer: GCF of Numerators as per given numbers 502/18, 236/3040 is

GCF of Numerators i.e. for 502,236 is 2

LCM of denominators i.e. for 18,3040 is 27360.

Thus, GCF of Fractions is 2/27360.Finally, GCF of Fractions for 502/18, 236/3040 is 2/27360.