Greatest Common Factor of 502/74, 144/517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 502/74, 144/517

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 502/74,144/517

Given fractions are 502/74,144/517

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 502,144

Greatest Common Factor of Numerators i.e. GCF of 502,144 is 2 .

LCM of Denominators means LCM of 74,517 as per the given fractions.

LCM of 74,517 is 38258 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 502,144

GCF of Fractions 502/74,144/517 is 2/38258

2 502, 144
251, 72

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

Greatest Common Factor of 502,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 502,144 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 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 502,144 . The biggest common factor number is the GCF number.
So the greatest common factor 502,144 is 2.

Lets's calculate LCM of 74,517

Given numbers has no common factors except 1. So, there LCM is their product i.e 38258

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/38258

Therefore, the GCF of Fractions 502/74,144/517 is 2/38258

Least Common Multiple of 74,517 with GCF Formula

Least Common Multiple of 74,517 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 74,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,517) = 1

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

GCF(74,517) x common factors =1 x 1 = 1

LCM(74,517) = ( 74 × 517 ) / 1

LCM(74,517) = 38258 / 1

LCM(74,517) = 38258


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 502/74, 144/517

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 502/74, 144/517?

Answer: GCF of Numerators as per given numbers 502/74, 144/517 is

GCF of Numerators i.e. for 502,144 is 2

LCM of denominators i.e. for 74,517 is 38258.

Thus, GCF of Fractions is 2/38258.Finally, GCF of Fractions for 502/74, 144/517 is 2/38258.